138575892 has 96 divisors (see below), whose sum is σ = 418969600. Its totient is φ = 34618752.

The previous prime is 138575831. The next prime is 138575903. The reversal of 138575892 is 298575831.

It is a super-3 number, since 3×138575892³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17409 + ... + 24087.

Almost surely, 2^138575892 is an apocalyptic number.

138575892 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 138575892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209484800).

138575892 is an abundant number, since it is smaller than the sum of its proper divisors (280393708).

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

138575892 is a wasteful number, since it uses less digits than its factorization.

138575892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6723 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 138575892 is about 11771.8261964744. The cubic root of 138575892 is about 517.4827700861.

It can be divided in two parts, 1385 and 75892, that added together give a palindrome (77277).

The spelling of 138575892 in words is "one hundred thirty-eight million, five hundred seventy-five thousand, eight hundred ninety-two".