152931033216 has 768 divisors, whose sum is σ = 521455334400. Its totient is φ = 42639851520.

The previous prime is 152931033209. The next prime is 152931033263. The reversal of 152931033216 is 612330139251.

152931033216 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 310 + 332 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498146535 + ... + 498146841.

It is an arithmetic number, because the mean of its divisors is an integer number (678978300).

Almost surely, 2^152931033216 is an apocalyptic number.

152931033216 is a gapful number since it is divisible by the number (16) 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 152931033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260727667200).

152931033216 is an abundant number, since it is smaller than the sum of its proper divisors (368524301184).

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

152931033216 is a wasteful number, since it uses less digits than its factorization.

152931033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 152931033216 in words is "one hundred fifty-two billion, nine hundred thirty-one million, thirty-three thousand, two hundred sixteen".