157712807757376 has 189 divisors, whose sum is σ = 335979152572609. Its totient is φ = 73438971639808.

The previous prime is 157712807757371. The next prime is 157712807757409. The reversal of 157712807757376 is 673757708217751.

The square root of 157712807757376 is 12558376.

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

It can be written as a sum of positive squares in only one way, i.e., 122786788046400 + 34926019710976 = 11080920^2 + 5909824^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157712807757299 and 157712807757308.

It is not an unprimeable number, because it can be changed into a prime (157712807757371) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182749487121 + ... + 182749487983.

Almost surely, 2^{157712807757376} is an apocalyptic number.

157712807757376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157712807757376 is the 12558376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157712807757376

157712807757376 is an abundant number, since it is smaller than the sum of its proper divisors (178266344815233).

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

157712807757376 is an frugal number, since it uses more digits than its factorization.

157712807757376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 847072800, while the sum is 73.

The spelling of 157712807757376 in words is "one hundred fifty-seven trillion, seven hundred twelve billion, eight hundred seven million, seven hundred fifty-seven thousand, three hundred seventy-six".