138944160 has 240 divisors, whose sum is σ = 500556672. Its totient is φ = 36288000.

The previous prime is 138944159. The next prime is 138944177. The reversal of 138944160 is 61449831.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 920085 + ... + 920235.

Almost surely, 2^138944160 is an apocalyptic number.

138944160 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 138944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250278336).

138944160 is an abundant number, since it is smaller than the sum of its proper divisors (361612512).

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

138944160 is a wasteful number, since it uses less digits than its factorization.

138944160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

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

The square root of 138944160 is about 11787.4577411756. The cubic root of 138944160 is about 517.9407712923.

The spelling of 138944160 in words is "one hundred thirty-eight million, nine hundred forty-four thousand, one hundred sixty".