157636791225 has 189 divisors, whose sum is σ = 313133844343. Its totient is φ = 78670103040.

The previous prime is 157636791203. The next prime is 157636791233. The reversal of 157636791225 is 522197636751.

It is a happy number.

The square root of 157636791225 is 397035.

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

157636791225 is a `hidden beast` number, since 1 + 57 + 6 + 367 + 9 + 1 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3602520441 + 154034270784 = 60021^2 + 392472^2 .

It is not a de Polignac number, because 157636791225 - 2⁷ = 157636791097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 911195239 + ... + 911195411.

Almost surely, 2^157636791225 is an apocalyptic number.

157636791225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

157636791225 is the 397035-th square number.

157636791225 is the 198518-th centered octagonal number.

It is an amenable number.

157636791225 is a deficient number, since it is larger than the sum of its proper divisors (155497053118).

157636791225 is an frugal number, since it uses more digits than its factorization.

157636791225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 198 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 157636791225 in words is "one hundred fifty-seven billion, six hundred thirty-six million, seven hundred ninety-one thousand, two hundred twenty-five".