137646561 has 16 divisors (see below), whose sum is σ = 200889920. Its totient is φ = 83315520.

The previous prime is 137646529. The next prime is 137646571. The reversal of 137646561 is 165646731.

It is not a de Polignac number, because 137646561 - 2⁵ = 137646529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137646521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26551 + ... + 31308.

It is an arithmetic number, because the mean of its divisors is an integer number (12555620).

Almost surely, 2^137646561 is an apocalyptic number.

It is an amenable number.

137646561 is a deficient number, since it is larger than the sum of its proper divisors (63243359).

137646561 is a wasteful number, since it uses less digits than its factorization.

137646561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57936.

The product of its digits is 90720, while the sum is 39.

The square root of 137646561 is about 11732.2871171822. The cubic root of 137646561 is about 516.3233768601.

The spelling of 137646561 in words is "one hundred thirty-seven million, six hundred forty-six thousand, five hundred sixty-one".