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135078408 = 23333120173
BaseRepresentation
bin10000000110100…
…10001000001000
3100102011200202000
420003102020020
5234040002113
621223111000
73230101413
oct1003221010
9312150660
10135078408
116a280453
12392a2460
1321ca616a
1413d22b7a
15bcd3373
hex80d2208

135078408 has 64 divisors (see below), whose sum is σ = 387340800. Its totient is φ = 43571520.

The previous prime is 135078407. The next prime is 135078431. The reversal of 135078408 is 804870531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135078401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3391 + ... + 16782.

It is an arithmetic number, because the mean of its divisors is an integer number (6052200).

Almost surely, 2135078408 is an apocalyptic number.

135078408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135078408 is an abundant number, since it is smaller than the sum of its proper divisors (252262392).

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

135078408 is a wasteful number, since it uses less digits than its factorization.

135078408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20219 (or 20209 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135078408 is about 11622.3236919301. The cubic root of 135078408 is about 513.0920801847.

The spelling of 135078408 in words is "one hundred thirty-five million, seventy-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 20173 40346 60519 80692 121038 161384 181557 242076 363114 484152 544671 625363 726228 1089342 1250726 1452456 1876089 2178684 2501452 3752178 4357368 5002904 5628267 7504356 11256534 15008712 16884801 22513068 33769602 45026136 67539204 135078408