137753638 has 16 divisors (see below), whose sum is σ = 225820224. Its totient is φ = 62502760.

The previous prime is 137753633. The next prime is 137753659. The reversal of 137753638 is 836357731.

It is a junction number, because it is equal to n+sod(n) for n = 137753594 and 137753603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137753633) 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 7 ways as a sum of consecutive naturals, for example, 7581 + ... + 18247.

It is an arithmetic number, because the mean of its divisors is an integer number (14113764).

Almost surely, 2^137753638 is an apocalyptic number.

137753638 is a deficient number, since it is larger than the sum of its proper divisors (88066586).

137753638 is a wasteful number, since it uses less digits than its factorization.

137753638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267.

The product of its digits is 317520, while the sum is 43.

The square root of 137753638 is about 11736.8495772929. The cubic root of 137753638 is about 516.4572269857.

The spelling of 137753638 in words is "one hundred thirty-seven million, seven hundred fifty-three thousand, six hundred thirty-eight".