138748560 has 160 divisors (see below), whose sum is σ = 470541312. Its totient is φ = 33669120.

The previous prime is 138748523. The next prime is 138748567. The reversal of 138748560 is 65847831.

It is not an unprimeable number, because it can be changed into a prime (138748567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125932 + ... + 127028.

Almost surely, 2^138748560 is an apocalyptic number.

138748560 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 138748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235270656).

138748560 is an abundant number, since it is smaller than the sum of its proper divisors (331792752).

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

138748560 is a wasteful number, since it uses less digits than its factorization.

138748560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 138748560 is about 11779.1578646353. The cubic root of 138748560 is about 517.6976117579.

The spelling of 138748560 in words is "one hundred thirty-eight million, seven hundred forty-eight thousand, five hundred sixty".