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135456372 = 223216722531
BaseRepresentation
bin10000001001011…
…10011001110100
3100102212220012200
420010232121310
5234134100442
621235144500
73233234352
oct1004563164
9312786180
10135456372
116a509417
1239445130
13220a91cc
1413dc07d2
15bd5a34c
hex812e674

135456372 has 36 divisors (see below), whose sum is σ = 344469216. Its totient is φ = 44879760.

The previous prime is 135456367. The next prime is 135456401. The reversal of 135456372 is 273654531.

135456372 is a `hidden beast` number, since 13 + 5 + 4 + 5 + 637 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5254 + ... + 17277.

Almost surely, 2135456372 is an apocalyptic number.

135456372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135456372 is an abundant number, since it is smaller than the sum of its proper divisors (209012844).

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

135456372 is a wasteful number, since it uses less digits than its factorization.

135456372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22708 (or 22703 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 135456372 is about 11638.5725928913. The cubic root of 135456372 is about 513.5701969051.

The spelling of 135456372 in words is "one hundred thirty-five million, four hundred fifty-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 501 668 1002 1503 2004 3006 6012 22531 45062 67593 90124 135186 202779 270372 405558 811116 3762677 7525354 11288031 15050708 22576062 33864093 45152124 67728186 135456372