152135625312 has 72 divisors (see below), whose sum is σ = 471966211080. Its totient is φ = 46101703680.

The previous prime is 152135625307. The next prime is 152135625347. The reversal of 152135625312 is 213526531251.

152135625312 is a `hidden beast` number, since 1 + 5 + 2 + 13 + 5 + 625 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 24008137 + ... + 24014472.

It is an arithmetic number, because the mean of its divisors is an integer number (6555086265).

Almost surely, 2^152135625312 is an apocalyptic number.

152135625312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152135625312 is an abundant number, since it is smaller than the sum of its proper divisors (319830585768).

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

152135625312 is a wasteful number, since it uses less digits than its factorization.

152135625312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48022636 (or 48022625 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The spelling of 152135625312 in words is "one hundred fifty-two billion, one hundred thirty-five million, six hundred twenty-five thousand, three hundred twelve".