138401624 has 48 divisors (see below), whose sum is σ = 290093400. Its totient is φ = 61680384.

The previous prime is 138401621. The next prime is 138401629. The reversal of 138401624 is 426104831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138401621) 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, 47687 + ... + 50505.

Almost surely, 2^138401624 is an apocalyptic number.

It is an amenable number.

138401624 is an abundant number, since it is smaller than the sum of its proper divisors (151691776).

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

138401624 is a wasteful number, since it uses less digits than its factorization.

138401624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 138401624 is about 11764.4219577504. The cubic root of 138401624 is about 517.2657565898.

The spelling of 138401624 in words is "one hundred thirty-eight million, four hundred one thousand, six hundred twenty-four".