138544560 has 640 divisors, whose sum is σ = 642816000. Its totient is φ = 27095040.

The previous prime is 138544547. The next prime is 138544573. The reversal of 138544560 is 65445831.

It is a happy number.

138544560 is a `hidden beast` number, since 13 + 85 + 4 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (138544547) and next prime (138544573).

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 127 ways as a sum of consecutive naturals, for example, 8149672 + ... + 8149688.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^138544560 is an apocalyptic number.

138544560 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 138544560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

138544560 is an abundant number, since it is smaller than the sum of its proper divisors (504271440).

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

138544560 is a wasteful number, since it uses less digits than its factorization.

138544560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 138544560 is about 11770.4953166806. The cubic root of 138544560 is about 517.4437662064.

The spelling of 138544560 in words is "one hundred thirty-eight million, five hundred forty-four thousand, five hundred sixty".