151290416400 has 60 divisors (see below), whose sum is σ = 484633637712. Its totient is φ = 40344110720.

The previous prime is 151290416309. The next prime is 151290416441. The reversal of 151290416400 is 4614092151.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63036474 + ... + 63038873.

Almost surely, 2^151290416400 is an apocalyptic number.

151290416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151290416400 is an abundant number, since it is smaller than the sum of its proper divisors (333343221312).

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

151290416400 is a wasteful number, since it uses less digits than its factorization.

151290416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126075368 (or 126075357 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 151290416400 in words is "one hundred fifty-one billion, two hundred ninety million, four hundred sixteen thousand, four hundred".