138572 has 24 divisors (see below), whose sum is σ = 285600. Its totient is φ = 58800.

The previous prime is 138571. The next prime is 138577. The reversal of 138572 is 275831.

It is not an unprimeable number, because it can be changed into a prime (138571) 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, 1322 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (11900).

2¹³⁸⁵⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142800).

138572 is an abundant number, since it is smaller than the sum of its proper divisors (147028).

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

138572 is a wasteful number, since it uses less digits than its factorization.

138572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 138572 is about 372.2526024086. The cubic root of 138572 is about 51.7477925420.

The spelling of 138572 in words is "one hundred thirty-eight thousand, five hundred seventy-two".