132815137 has 12 divisors (see below), whose sum is σ = 166384596. Its totient is φ = 105084000.

The previous prime is 132815107. The next prime is 132815143. The reversal of 132815137 is 731518231.

It can be written as a sum of positive squares in 2 ways, for example, as 33593616 + 99221521 = 5796^2 + 9961^2 .

It is not a de Polignac number, because 132815137 - 2¹¹ = 132813089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132815099 and 132815108.

It is not an unprimeable number, because it can be changed into a prime (132815107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103614 + ... + 104887.

It is an arithmetic number, because the mean of its divisors is an integer number (13865383).

Almost surely, 2^132815137 is an apocalyptic number.

It is an amenable number.

132815137 is a deficient number, since it is larger than the sum of its proper divisors (33569459).

132815137 is a wasteful number, since it uses less digits than its factorization.

132815137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208528 (or 208521 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 132815137 is about 11524.5449801717. The cubic root of 132815137 is about 510.2102644466.

The spelling of 132815137 in words is "one hundred thirty-two million, eight hundred fifteen thousand, one hundred thirty-seven".