138630624 has 144 divisors (see below), whose sum is σ = 412159104. Its totient is φ = 40454400.

The previous prime is 138630623. The next prime is 138630629. The reversal of 138630624 is 426036831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138630623) 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 23 ways as a sum of consecutive naturals, for example, 1952509 + ... + 1952579.

It is an arithmetic number, because the mean of its divisors is an integer number (2862216).

Almost surely, 2^138630624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138630624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206079552).

138630624 is an abundant number, since it is smaller than the sum of its proper divisors (273528480).

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

138630624 is a wasteful number, since it uses less digits than its factorization.

138630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 138630624 is about 11774.1506700059. The cubic root of 138630624 is about 517.5508895321.

The spelling of 138630624 in words is "one hundred thirty-eight million, six hundred thirty thousand, six hundred twenty-four".