137753873 has 12 divisors (see below), whose sum is σ = 147709980. Its totient is φ = 128431872.

The previous prime is 137753843. The next prime is 137753887. The reversal of 137753873 is 378357731.

It can be written as a sum of positive squares in 6 ways, for example, as 24373969 + 113379904 = 4937^2 + 10648^2 .

It is not a de Polignac number, because 137753873 - 2⁸ = 137753617 is a prime.

It is a super-2 number, since 2×137753873² = 37952259053000258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137753813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29315 + ... + 33687.

It is an arithmetic number, because the mean of its divisors is an integer number (12309165).

Almost surely, 2^137753873 is an apocalyptic number.

It is an amenable number.

137753873 is a deficient number, since it is larger than the sum of its proper divisors (9956107).

137753873 is a wasteful number, since it uses less digits than its factorization.

137753873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4499 counting only the distinct ones).

The product of its digits is 370440, while the sum is 44.

The square root of 137753873 is about 11736.8595884930. The cubic root of 137753873 is about 516.4575206679.

The spelling of 137753873 in words is "one hundred thirty-seven million, seven hundred fifty-three thousand, eight hundred seventy-three".