157630137 has 48 divisors (see below), whose sum is σ = 268784640. Its totient is φ = 80255232.

The previous prime is 157630127. The next prime is 157630159. The reversal of 157630137 is 731036751.

It is not a de Polignac number, because 157630137 - 2⁸ = 157629881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157630098 and 157630107.

It is not an unprimeable number, because it can be changed into a prime (157630127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114628 + ... + 115994.

It is an arithmetic number, because the mean of its divisors is an integer number (5599680).

Almost surely, 2^157630137 is an apocalyptic number.

157630137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

157630137 is a deficient number, since it is larger than the sum of its proper divisors (111154503).

157630137 is a wasteful number, since it uses less digits than its factorization.

157630137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 157630137 is about 12555.0841096346. The cubic root of 157630137 is about 540.1898475137.

Adding to 157630137 its reverse (731036751), we get a palindrome (888666888).

It can be divided in two parts, 1576 and 30137, that added together give a palindrome (31713).

The spelling of 157630137 in words is "one hundred fifty-seven million, six hundred thirty thousand, one hundred thirty-seven".