138247560 has 224 divisors, whose sum is σ = 509950080. Its totient is φ = 33436800.

The previous prime is 138247547. The next prime is 138247573. The reversal of 138247560 is 65742831.

138247560 is a `hidden beast` number, since 13 + 82 + 4 + 7 + 560 = 666.

138247560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138247547) and next prime (138247573).

It is a super-2 number, since 2×138247560² = 38224775691907200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 320545 + ... + 320975.

Almost surely, 2^138247560 is an apocalyptic number.

138247560 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 138247560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254975040).

138247560 is an abundant number, since it is smaller than the sum of its proper divisors (371702520).

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

138247560 is a wasteful number, since it uses less digits than its factorization.

138247560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 138247560 is about 11757.8722564927. The cubic root of 138247560 is about 517.0737510876.

The spelling of 138247560 in words is "one hundred thirty-eight million, two hundred forty-seven thousand, five hundred sixty".