137213128 has 24 divisors (see below), whose sum is σ = 278590050. Its totient is φ = 63328512.

The previous prime is 137213113. The next prime is 137213159. The reversal of 137213128 is 821312731.

It can be written as a sum of positive squares in 3 ways, for example, as 82482724 + 54730404 = 9082^2 + 7398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137213096 and 137213105.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49393 + ... + 52096.

Almost surely, 2^137213128 is an apocalyptic number.

It is an amenable number.

137213128 is an abundant number, since it is smaller than the sum of its proper divisors (141376922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137213128 is a wasteful number, since it uses less digits than its factorization.

137213128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101521 (or 101504 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 137213128 is about 11713.8007495432. The cubic root of 137213128 is about 515.7808596134.

Adding to 137213128 its reverse (821312731), we get a palindrome (958525859).

The spelling of 137213128 in words is "one hundred thirty-seven million, two hundred thirteen thousand, one hundred twenty-eight".