138754560 has 320 divisors, whose sum is σ = 530323200. Its totient is φ = 30277632.

The previous prime is 138754547. The next prime is 138754571. The reversal of 138754560 is 65457831.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558996 + ... + 1559084.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 2^138754560 is an apocalyptic number.

138754560 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 138754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

138754560 is an abundant number, since it is smaller than the sum of its proper divisors (391568640).

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

138754560 is an equidigital number, since it uses as much as digits as its factorization.

138754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 138754560 is about 11779.4125490196. The cubic root of 138754560 is about 517.7050740357.

The spelling of 138754560 in words is "one hundred thirty-eight million, seven hundred fifty-four thousand, five hundred sixty".