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135404500 = 22537113517
BaseRepresentation
bin10000001001000…
…01101111010100
3100102210021001111
420010201233110
5234130421000
621234104404
73232630210
oct1004415724
9312707044
10135404500
116a483450
123941b104
132208b70a
1413da9940
15bd49cba
hex8121bd4

135404500 has 96 divisors (see below), whose sum is σ = 368798976. Its totient is φ = 42192000.

The previous prime is 135404483. The next prime is 135404501. The reversal of 135404500 is 5404531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135404501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36742 + ... + 40258.

It is an arithmetic number, because the mean of its divisors is an integer number (3841656).

Almost surely, 2135404500 is an apocalyptic number.

135404500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135404500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184399488).

135404500 is an abundant number, since it is smaller than the sum of its proper divisors (233394476).

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

135404500 is a wasteful number, since it uses less digits than its factorization.

135404500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 135404500 is about 11636.3439275401. The cubic root of 135404500 is about 513.5046325858.

The spelling of 135404500 in words is "one hundred thirty-five million, four hundred four thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 125 140 154 175 220 250 275 308 350 385 500 550 700 770 875 1100 1375 1540 1750 1925 2750 3500 3517 3850 5500 7034 7700 9625 14068 17585 19250 24619 35170 38500 38687 49238 70340 77374 87925 98476 123095 154748 175850 193435 246190 270809 351700 386870 439625 492380 541618 615475 773740 879250 967175 1083236 1230950 1354045 1758500 1934350 2461900 2708090 3077375 3868700 4835875 5416180 6154750 6770225 9671750 12309500 13540450 19343500 27080900 33851125 67702250 135404500