157046400 has 576 divisors, whose sum is σ = 690580800. Its totient is φ = 33177600.

The previous prime is 157046399. The next prime is 157046429. The reversal of 157046400 is 4640751.

157046400 is a `hidden beast` number, since 15 + 7 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3830380 + ... + 3830420.

It is an arithmetic number, because the mean of its divisors is an integer number (1198925).

Almost surely, 2^157046400 is an apocalyptic number.

157046400 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 157046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345290400).

157046400 is an abundant number, since it is smaller than the sum of its proper divisors (533534400).

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

157046400 is a wasteful number, since it uses less digits than its factorization.

157046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 157046400 is about 12531.8155109306. The cubic root of 157046400 is about 539.5222111247.

The spelling of 157046400 in words is "one hundred fifty-seven million, forty-six thousand, four hundred".