157257454249 has 15 divisors (see below), whose sum is σ = 183478785143. Its totient is φ = 134775448248.

The previous prime is 157257454229. The next prime is 157257454297. The reversal of 157257454249 is 942454752751.

The square root of 157257454249 is 396557.

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., 68851136025 + 88406318224 = 262395^2 + 297332^2 .

It is not a de Polignac number, because 157257454249 - 2⁷ = 157257454121 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 157257454249.

It is not an unprimeable number, because it can be changed into a prime (157257454229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19427247 + ... + 19435339.

Almost surely, 2^157257454249 is an apocalyptic number.

157257454249 is the 396557-th square number.

157257454249 is the 198279-th centered octagonal number.

It is an amenable number.

157257454249 is a deficient number, since it is larger than the sum of its proper divisors (26221330894).

157257454249 is an frugal number, since it uses more digits than its factorization.

157257454249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16214 (or 8100 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 55.

The spelling of 157257454249 in words is "one hundred fifty-seven billion, two hundred fifty-seven million, four hundred fifty-four thousand, two hundred forty-nine".