151456972800 has 864 divisors, whose sum is σ = 599145652224. Its totient is φ = 33030144000.

The previous prime is 151456972759. The next prime is 151456972817. The reversal of 151456972800 is 8279654151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 151456972800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2133196765 + ... + 2133196835.

It is an arithmetic number, because the mean of its divisors is an integer number (693455616).

Almost surely, 2^151456972800 is an apocalyptic number.

151456972800 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 151456972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299572826112).

151456972800 is an abundant number, since it is smaller than the sum of its proper divisors (447688679424).

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

151456972800 is an frugal number, since it uses more digits than its factorization.

151456972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 151456972800 in words is "one hundred fifty-one billion, four hundred fifty-six million, nine hundred seventy-two thousand, eight hundred".