137683561 has 16 divisors (see below), whose sum is σ = 151457040. Its totient is φ = 124579840.

The previous prime is 137683547. The next prime is 137683571. The reversal of 137683561 is 165386731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11256025 + 126427536 = 3355^2 + 11244^2 .

It is a cyclic number.

It is not a de Polignac number, because 137683561 - 2¹⁹ = 137159273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137683501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155841 + ... + 156721.

It is an arithmetic number, because the mean of its divisors is an integer number (9466065).

Almost surely, 2^137683561 is an apocalyptic number.

It is an amenable number.

137683561 is a deficient number, since it is larger than the sum of its proper divisors (13773479).

137683561 is a wasteful number, since it uses less digits than its factorization.

137683561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244.

The product of its digits is 90720, while the sum is 40.

The square root of 137683561 is about 11733.8638563774. The cubic root of 137683561 is about 516.3696360458.

The spelling of 137683561 in words is "one hundred thirty-seven million, six hundred eighty-three thousand, five hundred sixty-one".