152002015256 has 192 divisors, whose sum is σ = 379606046400. Its totient is φ = 56430646272.

The previous prime is 152002015213. The next prime is 152002015259. The reversal of 152002015256 is 652510200251.

It is a super-2 number, since 2×152002015256² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152002015259) 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, 6199790 + ... + 6224258.

It is an arithmetic number, because the mean of its divisors is an integer number (1977114825).

Almost surely, 2^152002015256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152002015256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189803023200).

152002015256 is an abundant number, since it is smaller than the sum of its proper divisors (227604031144).

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

152002015256 is a wasteful number, since it uses less digits than its factorization.

152002015256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24578 (or 24567 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 152002015256 in words is "one hundred fifty-two billion, two million, fifteen thousand, two hundred fifty-six".