152731412736000 has 384 divisors, whose sum is σ = 580761217370880. Its totient is φ = 34910035968000.

The previous prime is 152731412735947. The next prime is 152731412736031. The reversal of 152731412736000 is 637214137251.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8828931 + ... + 19580930.

It is an arithmetic number, because the mean of its divisors is an integer number (1512399003570).

Almost surely, 2^{152731412736000} is an apocalyptic number.

152731412736000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152731412736000 is an abundant number, since it is smaller than the sum of its proper divisors (428029804634880).

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

152731412736000 is an equidigital number, since it uses as much as digits as its factorization.

152731412736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28409908 (or 28409878 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 152731412736000 in words is "one hundred fifty-two trillion, seven hundred thirty-one billion, four hundred twelve million, seven hundred thirty-six thousand".