157634400 has 288 divisors, whose sum is σ = 640459008. Its totient is φ = 32716800.

The previous prime is 157634357. The next prime is 157634417. The reversal of 157634400 is 4436751.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184374 + ... + 185226.

It is an arithmetic number, because the mean of its divisors is an integer number (2223816).

Almost surely, 2^157634400 is an apocalyptic number.

157634400 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 157634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320229504).

157634400 is an abundant number, since it is smaller than the sum of its proper divisors (482824608).

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

157634400 is a wasteful number, since it uses less digits than its factorization.

157634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 157634400 is about 12555.2538803483. The cubic root of 157634400 is about 540.1947171590.

The spelling of 157634400 in words is "one hundred fifty-seven million, six hundred thirty-four thousand, four hundred".