137132049 has 16 divisors (see below), whose sum is σ = 193646592. Its totient is φ = 86138448.

The previous prime is 137132011. The next prime is 137132059. The reversal of 137132049 is 940231731.

It is not a de Polignac number, because 137132049 - 2²⁰ = 136083473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137132059) 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, 10209 + ... + 19454.

It is an arithmetic number, because the mean of its divisors is an integer number (12102912).

Almost surely, 2^137132049 is an apocalyptic number.

It is an amenable number.

137132049 is a deficient number, since it is larger than the sum of its proper divisors (56514543).

137132049 is a wasteful number, since it uses less digits than its factorization.

137132049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29756.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 137132049 is about 11710.3394058413. The cubic root of 137132049 is about 515.6792482575.

The spelling of 137132049 in words is "one hundred thirty-seven million, one hundred thirty-two thousand, forty-nine".