152210120832 has 384 divisors, whose sum is σ = 547738139520. Its totient is φ = 39414988800.

The previous prime is 152210120819. The next prime is 152210120837. The reversal of 152210120832 is 238021012251.

152210120832 is a `hidden beast` number, since 1 + 522 + 10 + 120 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 152210120796 and 152210120805.

It is not an unprimeable number, because it can be changed into a prime (152210120837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31310082 + ... + 31314942.

It is an arithmetic number, because the mean of its divisors is an integer number (1426401405).

Almost surely, 2^152210120832 is an apocalyptic number.

152210120832 is a gapful number since it is divisible by the number (12) 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 152210120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273869069760).

152210120832 is an abundant number, since it is smaller than the sum of its proper divisors (395528018688).

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

152210120832 is a wasteful number, since it uses less digits than its factorization.

152210120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 152210120832 in words is "one hundred fifty-two billion, two hundred ten million, one hundred twenty thousand, eight hundred thirty-two".