137081973 has 16 divisors (see below), whose sum is σ = 209068160. Its totient is φ = 78264576.

The previous prime is 137081951. The next prime is 137081977. The reversal of 137081973 is 379180731.

It is a happy number.

137081973 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 137081973 - 2²⁴ = 120304757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137081977) 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, 31761 + ... + 35817.

It is an arithmetic number, because the mean of its divisors is an integer number (13066760).

Almost surely, 2^137081973 is an apocalyptic number.

It is an amenable number.

137081973 is a deficient number, since it is larger than the sum of its proper divisors (71986187).

137081973 is a wasteful number, since it uses less digits than its factorization.

137081973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676.

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 137081973 is about 11708.2011000837. The cubic root of 137081973 is about 515.6164710582.

The spelling of 137081973 in words is "one hundred thirty-seven million, eighty-one thousand, nine hundred seventy-three".