137804121 has 81 divisors (see below), whose sum is σ = 256696479. Its totient is φ = 70997472.

The previous prime is 137804111. The next prime is 137804137. The reversal of 137804121 is 121408731.

The square root of 137804121 is 11739.

It is a perfect power (a square), and thus also a powerful number.

137804121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20385225 + 117418896 = 4515^2 + 10836^2 .

It is not a de Polignac number, because 137804121 - 2⁵ = 137804089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137804111) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3204726 + ... + 3204768.

Almost surely, 2^137804121 is an apocalyptic number.

137804121 is the 11739-th square number.

137804121 is the 5870-th centered octagonal number.

It is an amenable number.

137804121 is a deficient number, since it is larger than the sum of its proper divisors (118892358).

137804121 is a wasteful number, since it uses less digits than its factorization.

137804121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The cubic root of 137804121 is about 516.5203085040.

The spelling of 137804121 in words is "one hundred thirty-seven million, eight hundred four thousand, one hundred twenty-one".