138913632 has 144 divisors (see below), whose sum is σ = 464235408. Its totient is φ = 38845440.

The previous prime is 138913597. The next prime is 138913639. The reversal of 138913632 is 236319831.

138913632 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138913639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39498 + ... + 42870.

It is an arithmetic number, because the mean of its divisors is an integer number (3223857).

Almost surely, 2^138913632 is an apocalyptic number.

138913632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138913632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232117704).

138913632 is an abundant number, since it is smaller than the sum of its proper divisors (325321776).

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

138913632 is a wasteful number, since it uses less digits than its factorization.

138913632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3402 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 138913632 is about 11786.1627343254. The cubic root of 138913632 is about 517.9028355393.

The spelling of 138913632 in words is "one hundred thirty-eight million, nine hundred thirteen thousand, six hundred thirty-two".