137967125 has 8 divisors (see below), whose sum is σ = 172183128. Its totient is φ = 110373600.

The previous prime is 137967119. The next prime is 137967149. The reversal of 137967125 is 521769731.

It can be written as a sum of positive squares in 4 ways, for example, as 4726276 + 133240849 = 2174^2 + 11543^2 .

It is not a de Polignac number, because 137967125 - 2⁶ = 137967061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551744 + ... + 551993.

It is an arithmetic number, because the mean of its divisors is an integer number (21522891).

Almost surely, 2^137967125 is an apocalyptic number.

It is an amenable number.

137967125 is a deficient number, since it is larger than the sum of its proper divisors (34216003).

137967125 is an equidigital number, since it uses as much as digits as its factorization.

137967125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103752 (or 1103742 counting only the distinct ones).

The product of its digits is 79380, while the sum is 41.

The square root of 137967125 is about 11745.9407882042. The cubic root of 137967125 is about 516.7238865984.

The spelling of 137967125 in words is "one hundred thirty-seven million, nine hundred sixty-seven thousand, one hundred twenty-five".