138513592 has 96 divisors (see below), whose sum is σ = 315802800. Its totient is φ = 56749056.

The previous prime is 138513577. The next prime is 138513593. The reversal of 138513592 is 295315831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138513593) 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, 1225728 + ... + 1225840.

Almost surely, 2^138513592 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 138513592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157901400).

138513592 is an abundant number, since it is smaller than the sum of its proper divisors (177289208).

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

138513592 is a wasteful number, since it uses less digits than its factorization.

138513592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its digits is 32400, while the sum is 37.

The square root of 138513592 is about 11769.1797505179. The cubic root of 138513592 is about 517.4052096759.

The spelling of 138513592 in words is "one hundred thirty-eight million, five hundred thirteen thousand, five hundred ninety-two".