157511353129 has 9 divisors (see below), whose sum is σ = 170565217893. Its totient is φ = 145390332672.

The previous prime is 157511353099. The next prime is 157511353133. The reversal of 157511353129 is 921353115751.

The square root of 157511353129 is 396877.

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

It can be written as a sum of positive squares in 4 ways, for example, as 127531123225 + 29980229904 = 357115^2 + 173148^2 .

It is not a de Polignac number, because 157511353129 - 2²⁵ = 157477798697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157511353729) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5144137 + ... + 5174665.

It is an arithmetic number, because the mean of its divisors is an integer number (18951690877).

Almost surely, 2^157511353129 is an apocalyptic number.

157511353129 is the 396877-th square number.

157511353129 is the 198439-th centered octagonal number.

It is an amenable number.

157511353129 is a deficient number, since it is larger than the sum of its proper divisors (13053864764).

157511353129 is an frugal number, since it uses more digits than its factorization.

157511353129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61084 (or 30542 counting only the distinct ones).

The product of its digits is 141750, while the sum is 43.

The spelling of 157511353129 in words is "one hundred fifty-seven billion, five hundred eleven million, three hundred fifty-three thousand, one hundred twenty-nine".