138933144 has 160 divisors (see below), whose sum is σ = 450410400. Its totient is φ = 39191040.

The previous prime is 138933131. The next prime is 138933167. The reversal of 138933144 is 441339831.

138933144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 138933099 and 138933108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 494284 + ... + 494564.

It is an arithmetic number, because the mean of its divisors is an integer number (2815065).

Almost surely, 2^138933144 is an apocalyptic number.

138933144 is a gapful number since it is divisible by the number (14) 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 138933144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225205200).

138933144 is an abundant number, since it is smaller than the sum of its proper divisors (311477256).

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

138933144 is a wasteful number, since it uses less digits than its factorization.

138933144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 138933144 is about 11786.9904555828. The cubic root of 138933144 is about 517.9270828525.

The spelling of 138933144 in words is "one hundred thirty-eight million, nine hundred thirty-three thousand, one hundred forty-four".