157721600 has 132 divisors (see below), whose sum is σ = 401302068. Its totient is φ = 61440000.

The previous prime is 157721591. The next prime is 157721621. The reversal of 157721600 is 6127751.

It can be written as a sum of positive squares in 6 ways, for example, as 3564544 + 154157056 = 1888^2 + 12416^2 .

It is a super-2 number, since 2×157721600² = 49752206213120000, which contains 22 as substring.

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, 1561550 + ... + 1561650.

Almost surely, 2^157721600 is an apocalyptic number.

157721600 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 157721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200651034).

157721600 is an abundant number, since it is smaller than the sum of its proper divisors (243580468).

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

157721600 is a wasteful number, since it uses less digits than its factorization.

157721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 157721600 is about 12558.7260500419. The cubic root of 157721600 is about 540.2943068767.

The spelling of 157721600 in words is "one hundred fifty-seven million, seven hundred twenty-one thousand, six hundred".