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135440154300 = 2235211172414263
BaseRepresentation
bin111111000100011011…
…1001011111010111100
3110221121001112201101010
41332020313023322330
54204340134414200
6142115332315220
712533222213343
oct1761067137274
9427531481333
10135440154300
1152492488620
12222ba772b10
13ca05c93849
1467abbc4b5a
1537ca761150
hex1f88dcbebc

135440154300 has 144 divisors (see below), whose sum is σ = 452645528832. Its totient is φ = 30902553600.

The previous prime is 135440154299. The next prime is 135440154301. The reversal of 135440154300 is 3451044531.

It is an interprime number because it is at equal distance from previous prime (135440154299) and next prime (135440154301).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135440154301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151032 + ... + 1263231.

It is an arithmetic number, because the mean of its divisors is an integer number (3143371728).

Almost surely, 2135440154300 is an apocalyptic number.

135440154300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135440154300 is an abundant number, since it is smaller than the sum of its proper divisors (317205374532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135440154300 is a wasteful number, since it uses less digits than its factorization.

135440154300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414308 (or 2414301 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 135440154300 its reverse (3451044531), we get a palindrome (138891198831).

The spelling of 135440154300 in words is "one hundred thirty-five billion, four hundred forty million, one hundred fifty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 2414263 4828526 7242789 9657052 12071315 14485578 24142630 26556893 28971156 36213945 41042471 48285260 53113786 60356575 72427890 79670679 82084942 106227572 120713150 123127413 132784465 144855780 159341358 164169884 181069725 205212355 241426300 246254826 265568930 318682716 362139450 398353395 410424710 451467181 492509652 531137860 615637065 663922325 724278900 796706790 820849420 902934362 1026061775 1231274130 1327844650 1354401543 1593413580 1805868724 1991766975 2052123550 2257335905 2462548260 2655689300 2708803086 3078185325 3983533950 4104247100 4514671810 5417606172 6156370650 6772007715 7967067900 9029343620 11286679525 12312741300 13544015430 22573359050 27088030860 33860038575 45146718100 67720077150 135440154300