137733561 has 24 divisors (see below), whose sum is σ = 237366240. Its totient is φ = 78704136.

The previous prime is 137733551. The next prime is 137733569. The reversal of 137733561 is 165337731.

It is a happy number.

137733561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137733561 - 2⁵ = 137733529 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137733569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50731 + ... + 53376.

It is an arithmetic number, because the mean of its divisors is an integer number (9890260).

Almost surely, 2^137733561 is an apocalyptic number.

It is an amenable number.

137733561 is a deficient number, since it is larger than the sum of its proper divisors (99632679).

137733561 is a wasteful number, since it uses less digits than its factorization.

137733561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104130 (or 104117 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 137733561 is about 11735.9942484648. The cubic root of 137733561 is about 516.4321352938.

The spelling of 137733561 in words is "one hundred thirty-seven million, seven hundred thirty-three thousand, five hundred sixty-one".