138372 has 24 divisors (see below), whose sum is σ = 348096. Its totient is φ = 42528.

The previous prime is 138371. The next prime is 138373. The reversal of 138372 is 273831.

It is an interprime number because it is at equal distance from previous prime (138371) and next prime (138373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (14504).

2¹³⁸³⁷² is an apocalyptic number.

138372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138372 is an abundant number, since it is smaller than the sum of its proper divisors (209724).

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

138372 is a wasteful number, since it uses less digits than its factorization.

138372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 138372 is about 371.9838706181. The cubic root of 138372 is about 51.7228848126.

It can be divided in two parts, 13 and 8372, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 138372 in words is "one hundred thirty-eight thousand, three hundred seventy-two".