138583872 has 336 divisors, whose sum is σ = 502960640. Its totient is φ = 36951552.

The previous prime is 138583867. The next prime is 138583873. The reversal of 138583872 is 278385831.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (322560) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138583873) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068383 + ... + 2068449.

Almost surely, 2^138583872 is an apocalyptic number.

138583872 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 138583872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251480320).

138583872 is an abundant number, since it is smaller than the sum of its proper divisors (364376768).

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

138583872 is an equidigital number, since it uses as much as digits as its factorization.

138583872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 138583872 is about 11772.1651364564. The cubic root of 138583872 is about 517.4927031107.

The spelling of 138583872 in words is "one hundred thirty-eight million, five hundred eighty-three thousand, eight hundred seventy-two".