151796332800 has 1080 divisors, whose sum is σ = 653232148800. Its totient is φ = 34060124160.

The previous prime is 151796332771. The next prime is 151796332843. The reversal of 151796332800 is 8233697151.

151796332800 is a `hidden beast` number, since 1 + 5 + 1 + 7 + 9 + 633 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 214098846 + ... + 214099554.

Almost surely, 2^151796332800 is an apocalyptic number.

151796332800 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 151796332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326616074400).

151796332800 is an abundant number, since it is smaller than the sum of its proper divisors (501435816000).

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

151796332800 is an equidigital number, since it uses as much as digits as its factorization.

151796332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 151796332800 in words is "one hundred fifty-one billion, seven hundred ninety-six million, three hundred thirty-two thousand, eight hundred".