152035402400 has 72 divisors (see below), whose sum is σ = 424178788320. Its totient is φ = 52126421760.

The previous prime is 152035402367. The next prime is 152035402417. The reversal of 152035402400 is 4204530251.

It is a happy number.

It is a super-2 number, since 2×152035402400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 152035402400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13568990 + ... + 13580189.

It is an arithmetic number, because the mean of its divisors is an integer number (5891372060).

Almost surely, 2^152035402400 is an apocalyptic number.

152035402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152035402400 is an abundant number, since it is smaller than the sum of its proper divisors (272143385920).

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

152035402400 is a wasteful number, since it uses less digits than its factorization.

152035402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27149206 (or 27149193 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 152035402400 its reverse (4204530251), we get a palindrome (156239932651).

The spelling of 152035402400 in words is "one hundred fifty-two billion, thirty-five million, four hundred two thousand, four hundred".