138506160 has 160 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 33684480.

The previous prime is 138506141. The next prime is 138506177. The reversal of 138506160 is 61605831.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 321145 + ... + 321575.

Almost surely, 2^138506160 is an apocalyptic number.

138506160 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 138506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

138506160 is an abundant number, since it is smaller than the sum of its proper divisors (329463888).

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

138506160 is a wasteful number, since it uses less digits than its factorization.

138506160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 138506160 is about 11768.8640063517. The cubic root of 138506160 is about 517.3959556520.

The spelling of 138506160 in words is "one hundred thirty-eight million, five hundred six thousand, one hundred sixty".