138346560 has 252 divisors, whose sum is σ = 524364204. Its totient is φ = 33454080.

The previous prime is 138346529. The next prime is 138346577. The reversal of 138346560 is 65643831.

138346560 is a `hidden beast` number, since 13 + 83 + 4 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 66977856 = 8448^2 + 8184^2 .

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 35 ways as a sum of consecutive naturals, for example, 348282 + ... + 348678.

Almost surely, 2^138346560 is an apocalyptic number.

138346560 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 138346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262182102).

138346560 is an abundant number, since it is smaller than the sum of its proper divisors (386017644).

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

138346560 is a wasteful number, since it uses less digits than its factorization.

138346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 138346560 is about 11762.0814484512. The cubic root of 138346560 is about 517.1971482913.

The spelling of 138346560 in words is "one hundred thirty-eight million, three hundred forty-six thousand, five hundred sixty".