157692381025 has 27 divisors (see below), whose sum is σ = 200300160531. Its totient is φ = 123153379440.

The previous prime is 157692381023. The next prime is 157692381029. The reversal of 157692381025 is 520183296751.

The square root of 157692381025 is 397105.

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

157692381025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 56769257169 + 100923123856 = 238263^2 + 317684^2 .

It is not a de Polignac number, because 157692381025 - 2¹ = 157692381023 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 157692381025.

It is not an unprimeable number, because it can be changed into a prime (157692381023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 85376652 + ... + 85378498.

Almost surely, 2^157692381025 is an apocalyptic number.

157692381025 is the 397105-th square number.

157692381025 is the 198553-rd centered octagonal number.

It is an amenable number.

157692381025 is a deficient number, since it is larger than the sum of its proper divisors (42607779506).

157692381025 is an frugal number, since it uses more digits than its factorization.

157692381025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 157692381025 by its sum of digits (49), we get a square (7726926670225 = 2779735²).

The spelling of 157692381025 in words is "one hundred fifty-seven billion, six hundred ninety-two million, three hundred eighty-one thousand, twenty-five".