151331413200 has 120 divisors (see below), whose sum is σ = 528834548256. Its totient is φ = 36686400000.

The previous prime is 151331413187. The next prime is 151331413223. The reversal of 151331413200 is 2314133151.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×151331413200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 5719051 + ... + 5745450.

Almost surely, 2^151331413200 is an apocalyptic number.

151331413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151331413200 is an abundant number, since it is smaller than the sum of its proper divisors (377503135056).

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

151331413200 is a wasteful number, since it uses less digits than its factorization.

151331413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11464533 (or 11464522 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 151331413200 its reverse (2314133151), we get a palindrome (153645546351).

The spelling of 151331413200 in words is "one hundred fifty-one billion, three hundred thirty-one million, four hundred thirteen thousand, two hundred".