157161600 has 384 divisors, whose sum is σ = 614692800. Its totient is φ = 39075840.

The previous prime is 157161577. The next prime is 157161647. The reversal of 157161600 is 6161751.

157161600 is a `hidden beast` number, since 1 + 57 + 1 + 6 + 1 + 600 = 666.

157161600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468747 + ... + 1468853.

Almost surely, 2^157161600 is an apocalyptic number.

157161600 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 157161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307346400).

157161600 is an abundant number, since it is smaller than the sum of its proper divisors (457531200).

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

157161600 is a wasteful number, since it uses less digits than its factorization.

157161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 157161600 is about 12536.4109696516. The cubic root of 157161600 is about 539.6540994661.

The spelling of 157161600 in words is "one hundred fifty-seven million, one hundred sixty-one thousand, six hundred".