137863638 has 24 divisors (see below), whose sum is σ = 325859976. Its totient is φ = 41776800.

The previous prime is 137863637. The next prime is 137863657. The reversal of 137863638 is 836368731.

137863638 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 6 + 3 + 638 = 666.

137863638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137863593 and 137863602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137863631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347943 + ... + 348338.

It is an arithmetic number, because the mean of its divisors is an integer number (13577499).

Almost surely, 2^137863638 is an apocalyptic number.

137863638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137863638 is an abundant number, since it is smaller than the sum of its proper divisors (187996338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137863638 is a wasteful number, since it uses less digits than its factorization.

137863638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696300 (or 696297 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 137863638 is about 11741.5347378441. The cubic root of 137863638 is about 516.5946587588.

It can be divided in two parts, 13786 and 3638, that added together give a square (17424 = 132²).

The spelling of 137863638 in words is "one hundred thirty-seven million, eight hundred sixty-three thousand, six hundred thirty-eight".