138893040 has 480 divisors, whose sum is σ = 584962560. Its totient is φ = 29030400.

The previous prime is 138893017. The next prime is 138893087. The reversal of 138893040 is 40398831.

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

It is a junction number, because it is equal to n+sod(n) for n = 138892986 and 138893004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1956205 + ... + 1956275.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^138893040 is an apocalyptic number.

138893040 is a gapful number since it is divisible by the number (10) 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 138893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

138893040 is an abundant number, since it is smaller than the sum of its proper divisors (446069520).

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

138893040 is a wasteful number, since it uses less digits than its factorization.

138893040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138893040 is about 11785.2891351888. The cubic root of 138893040 is about 517.8772436612.

The spelling of 138893040 in words is "one hundred thirty-eight million, eight hundred ninety-three thousand, forty".