138974080 has 128 divisors (see below), whose sum is σ = 386196480. Its totient is φ = 46835712.

The previous prime is 138974057. The next prime is 138974093. The reversal of 138974080 is 80479831.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 299929 + ... + 300391.

It is an arithmetic number, because the mean of its divisors is an integer number (3017160).

Almost surely, 2^138974080 is an apocalyptic number.

138974080 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 138974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193098240).

138974080 is an abundant number, since it is smaller than the sum of its proper divisors (247222400).

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

138974080 is an equidigital number, since it uses as much as digits as its factorization.

138974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 138974080 is about 11788.7268184482. The cubic root of 138974080 is about 517.9779461201.

The spelling of 138974080 in words is "one hundred thirty-eight million, nine hundred seventy-four thousand, eighty".