157724151025 has 45 divisors (see below), whose sum is σ = 228301535553. Its totient is φ = 108086983200.

The previous prime is 157724151007. The next prime is 157724151031. The reversal of 157724151025 is 520151427751.

The square root of 157724151025 is 397145.

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

157724151025 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 4 ways, for example, as 3136784049 + 154587366976 = 56007^2 + 393176^2 .

It is not a de Polignac number, because 157724151025 - 2¹⁷ = 157724019953 is a prime.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 97299715 + ... + 97301335.

Almost surely, 2^157724151025 is an apocalyptic number.

157724151025 is the 397145-th square number.

157724151025 is the 198573-rd centered octagonal number.

It is an amenable number.

157724151025 is a deficient number, since it is larger than the sum of its proper divisors (70577384528).

157724151025 is an frugal number, since it uses more digits than its factorization.

157724151025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 40.

Adding to 157724151025 its reverse (520151427751), we get a palindrome (677875578776).

The spelling of 157724151025 in words is "one hundred fifty-seven billion, seven hundred twenty-four million, one hundred fifty-one thousand, twenty-five".