151533158400 has 1536 divisors, whose sum is σ = 655308057600. Its totient is φ = 33973862400.

The previous prime is 151533158389. The next prime is 151533158449. The reversal of 151533158400 is 4851335151.

It is a happy number.

151533158400 is a `hidden beast` number, since 1 + 51 + 53 + 3 + 158 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4888166385 + ... + 4888166415.

It is an arithmetic number, because the mean of its divisors is an integer number (426632850).

Almost surely, 2^151533158400 is an apocalyptic number.

151533158400 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 151533158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327654028800).

151533158400 is an abundant number, since it is smaller than the sum of its proper divisors (503774899200).

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

151533158400 is a wasteful number, since it uses less digits than its factorization.

151533158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 151533158400 in words is "one hundred fifty-one billion, five hundred thirty-three million, one hundred fifty-eight thousand, four hundred".