157508137 has 2 divisors, whose sum is σ = 157508138. Its totient is φ = 157508136.

The previous prime is 157508129. The next prime is 157508147. The reversal of 157508137 is 731805751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91183401 + 66324736 = 9549^2 + 8144^2 .

It is an emirp because it is prime and its reverse (731805751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 157508137 - 2³ = 157508129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157508096 and 157508105.

It is not a weakly prime, because it can be changed into another prime (157508147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78754068 + 78754069.

It is an arithmetic number, because the mean of its divisors is an integer number (78754069).

Almost surely, 2^157508137 is an apocalyptic number.

It is an amenable number.

157508137 is a deficient number, since it is larger than the sum of its proper divisors (1).

157508137 is an equidigital number, since it uses as much as digits as its factorization.

157508137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29400, while the sum is 37.

The square root of 157508137 is about 12550.2245796639. The cubic root of 157508137 is about 540.0504491047.

The spelling of 157508137 in words is "one hundred fifty-seven million, five hundred eight thousand, one hundred thirty-seven".