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135287738100 = 223252712117179
BaseRepresentation
bin111110111111111000…
…1110000111011110100
3110221012102202011122200
41331333301300323310
54204032130104400
6142052245424500
712526361541264
oct1757761607364
9427172664580
10135287738100
1152414446019
122227770b130
13c9b0529c48
14679586b7a4
1537bc1a5b00
hex1f7fc70ef4

135287738100 has 108 divisors (see below), whose sum is σ = 430024664160. Its totient is φ = 35568590400.

The previous prime is 135287738071. The next prime is 135287738101. The reversal of 135287738100 is 1837782531.

135287738100 is a `hidden beast` number, since 13 + 528 + 7 + 7 + 3 + 8 + 100 = 666.

It is a super-2 number, since 2×1352877381002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135287738101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 994690 + ... + 1122489.

Almost surely, 2135287738100 is an apocalyptic number.

135287738100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135287738100 is an abundant number, since it is smaller than the sum of its proper divisors (294736926060).

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

135287738100 is a wasteful number, since it uses less digits than its factorization.

135287738100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117270 (or 2117260 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 135287738100 in words is "one hundred thirty-five billion, two hundred eighty-seven million, seven hundred thirty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 71 75 90 100 142 150 180 213 225 284 300 355 426 450 639 710 852 900 1065 1278 1420 1775 2130 2556 3195 3550 4260 5325 6390 7100 10650 12780 15975 21300 31950 63900 2117179 4234358 6351537 8468716 10585895 12703074 19054611 21171790 25406148 31757685 38109222 42343580 52929475 63515370 76218444 95273055 105858950 127030740 150319709 158788425 190546110 211717900 300639418 317576850 381092220 450959127 476365275 601278836 635153700 751598545 901918254 952730550 1352877381 1503197090 1803836508 1905461100 2254795635 2705754762 3006394180 3757992725 4509591270 5411509524 6764386905 7515985450 9019182540 11273978175 13528773810 15031970900 22547956350 27057547620 33821934525 45095912700 67643869050 135287738100