138824631 has 32 divisors (see below), whose sum is σ = 226275840. Its totient is φ = 84114360.

The previous prime is 138824561. The next prime is 138824633. The reversal of 138824631 is 136428831.

138824631 is a `hidden beast` number, since 1 + 388 + 246 + 31 = 666.

138824631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138824631 - 2⁷ = 138824503 is a prime.

It is a super-2 number, since 2×138824631² = 38544556344572322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138824633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34006 + ... + 37868.

It is an arithmetic number, because the mean of its divisors is an integer number (7071120).

Almost surely, 2^138824631 is an apocalyptic number.

138824631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138824631 is a deficient number, since it is larger than the sum of its proper divisors (87451209).

138824631 is an equidigital number, since it uses as much as digits as its factorization.

138824631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3877 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138824631 is about 11782.3864730368. The cubic root of 138824631 is about 517.7922063252.

The spelling of 138824631 in words is "one hundred thirty-eight million, eight hundred twenty-four thousand, six hundred thirty-one".