138573936 has 80 divisors (see below), whose sum is σ = 421178400. Its totient is φ = 43471872.

The previous prime is 138573913. The next prime is 138573943. The reversal of 138573936 is 639375831.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138573891 and 138573900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091 + ... + 16778.

It is an arithmetic number, because the mean of its divisors is an integer number (5264730).

Almost surely, 2^138573936 is an apocalyptic number.

138573936 is a gapful number since it is divisible by the number (16) 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 138573936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210589200).

138573936 is an abundant number, since it is smaller than the sum of its proper divisors (282604464).

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

138573936 is a wasteful number, since it uses less digits than its factorization.

138573936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18903 (or 18891 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 138573936 is about 11771.7431164633. The cubic root of 138573936 is about 517.4803353166.

The spelling of 138573936 in words is "one hundred thirty-eight million, five hundred seventy-three thousand, nine hundred thirty-six".