138772152 has 48 divisors (see below), whose sum is σ = 379374840. Its totient is φ = 45822528.

The previous prime is 138772147. The next prime is 138772201. The reversal of 138772152 is 251277831.

138772152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138772152² = 38515420341422208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303 + ... + 16710.

Almost surely, 2^138772152 is an apocalyptic number.

138772152 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 138772152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189687420).

138772152 is an abundant number, since it is smaller than the sum of its proper divisors (240602688).

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

138772152 is a wasteful number, since it uses less digits than its factorization.

138772152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18132 (or 18125 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 138772152 is about 11780.1592518947. The cubic root of 138772152 is about 517.7269521943.

The spelling of 138772152 in words is "one hundred thirty-eight million, seven hundred seventy-two thousand, one hundred fifty-two".