152032756260 has 576 divisors, whose sum is σ = 554891323392. Its totient is φ = 30464121600.

The previous prime is 152032756193. The next prime is 152032756279. The reversal of 152032756260 is 62657230251.

It is a happy number.

It is a super-2 number, since 2×152032756260² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 537218079 + ... + 537218361.

It is an arithmetic number, because the mean of its divisors is an integer number (963352992).

Almost surely, 2^152032756260 is an apocalyptic number.

152032756260 is a gapful number since it is divisible by the number (10) 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 152032756260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277445661696).

152032756260 is an abundant number, since it is smaller than the sum of its proper divisors (402858567132).

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

152032756260 is a wasteful number, since it uses less digits than its factorization.

152032756260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 152032756260 in words is "one hundred fifty-two billion, thirty-two million, seven hundred fifty-six thousand, two hundred sixty".