137645676 has 96 divisors (see below), whose sum is σ = 410708480. Its totient is φ = 39051072.

The previous prime is 137645663. The next prime is 137645693. The reversal of 137645676 is 676546731.

137645676 is a `hidden beast` number, since 13 + 76 + 4 + 567 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122670 + ... + 123786.

Almost surely, 2^137645676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137645676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205354240).

137645676 is an abundant number, since it is smaller than the sum of its proper divisors (273062804).

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

137645676 is a wasteful number, since it uses less digits than its factorization.

137645676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1292 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 137645676 is about 11732.2494006904. The cubic root of 137645676 is about 516.3222702889.

The spelling of 137645676 in words is "one hundred thirty-seven million, six hundred forty-five thousand, six hundred seventy-six".