138583008 has 48 divisors (see below), whose sum is σ = 404202960. Its totient is φ = 46194048.

The previous prime is 138583007. The next prime is 138583021. The reversal of 138583008 is 800385831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138583007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79335 + ... + 81062.

It is an arithmetic number, because the mean of its divisors is an integer number (8420895).

Almost surely, 2^138583008 is an apocalyptic number.

138583008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138583008 is an abundant number, since it is smaller than the sum of its proper divisors (265619952).

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

138583008 is a wasteful number, since it uses less digits than its factorization.

138583008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160416 (or 160402 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138583008 is about 11772.1284396663. The cubic root of 138583008 is about 517.4916276738.

The spelling of 138583008 in words is "one hundred thirty-eight million, five hundred eighty-three thousand, eight".