152564260160004 has 72 divisors (see below), whose sum is σ = 451748718415008. Its totient is φ = 39627080559360.

The previous prime is 152564260159981. The next prime is 152564260160041. The reversal of 152564260160004 is 400061062465251.

It is a super-3 number, since 3×152564260160004³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11793767509 + ... + 11793780444.

It is an arithmetic number, because the mean of its divisors is an integer number (6274287755764).

Almost surely, 2^{152564260160004} is an apocalyptic number.

152564260160004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152564260160004 is an abundant number, since it is smaller than the sum of its proper divisors (299184458255004).

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

152564260160004 is a wasteful number, since it uses less digits than its factorization.

152564260160004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23587547985 (or 23587547976 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 152564260160004 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, two hundred sixty million, one hundred sixty thousand, four".