138072060 has 96 divisors (see below), whose sum is σ = 490936320. Its totient is φ = 31558464.

The previous prime is 138072043. The next prime is 138072073. The reversal of 138072060 is 60270831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14484 + ... + 22043.

It is an arithmetic number, because the mean of its divisors is an integer number (5113920).

Almost surely, 2^138072060 is an apocalyptic number.

138072060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138072060 is an abundant number, since it is smaller than the sum of its proper divisors (352864260).

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

138072060 is a wasteful number, since it uses less digits than its factorization.

138072060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36552 (or 36544 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 138072060 is about 11750.4068014686. The cubic root of 138072060 is about 516.8548566393.

The spelling of 138072060 in words is "one hundred thirty-eight million, seventy-two thousand, sixty".