157807562500 has 189 divisors, whose sum is σ = 403335520833. Its totient is φ = 53867100000.

The previous prime is 157807562467. The next prime is 157807562501. The reversal of 157807562500 is 5265708751.

The square root of 157807562500 is 397250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 138254574276 + 19552988224 = 371826^2 + 139832^2 .

It is not an unprimeable number, because it can be changed into a prime (157807562501) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 695187387 + ... + 695187613.

Almost surely, 2^157807562500 is an apocalyptic number.

157807562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157807562500 is the 397250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157807562500

157807562500 is an abundant number, since it is smaller than the sum of its proper divisors (245527958333).

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

157807562500 is an frugal number, since it uses more digits than its factorization.

157807562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 46.

The spelling of 157807562500 in words is "one hundred fifty-seven billion, eight hundred seven million, five hundred sixty-two thousand, five hundred".