138274632 has 96 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 43488000.

The previous prime is 138274613. The next prime is 138274637. The reversal of 138274632 is 236472831.

It is a happy number.

138274632 is a `hidden beast` number, since 13 + 8 + 2 + 7 + 4 + 632 = 666.

138274632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (138274637) 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, 90757 + ... + 92267.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^138274632 is an apocalyptic number.

138274632 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 138274632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

138274632 is an abundant number, since it is smaller than the sum of its proper divisors (257990328).

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

138274632 is a wasteful number, since it uses less digits than its factorization.

138274632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1588 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 138274632 is about 11759.0234288397. The cubic root of 138274632 is about 517.1075004644.

The spelling of 138274632 in words is "one hundred thirty-eight million, two hundred seventy-four thousand, six hundred thirty-two".