138973632 has 112 divisors (see below), whose sum is σ = 428378112. Its totient is φ = 38937600.

The previous prime is 138973621. The next prime is 138973643. The reversal of 138973632 is 236379831.

It is a happy number.

138973632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138973621) and next prime (138973643).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (163296) is a multiple of the sum of its prime divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70257 + ... + 72207.

Almost surely, 2^138973632 is an apocalyptic number.

138973632 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 138973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214189056).

138973632 is an abundant number, since it is smaller than the sum of its proper divisors (289404480).

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

138973632 is a wasteful number, since it uses less digits than its factorization.

138973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2016 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 138973632 is about 11788.7078172292. The cubic root of 138973632 is about 517.9773895310.

The spelling of 138973632 in words is "one hundred thirty-eight million, nine hundred seventy-three thousand, six hundred thirty-two".