138709872 has 240 divisors, whose sum is σ = 480350208. Its totient is φ = 36495360.

The previous prime is 138709811. The next prime is 138709877. The reversal of 138709872 is 278907831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138709877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718608 + ... + 718800.

Almost surely, 2^138709872 is an apocalyptic number.

138709872 is a gapful number since it is divisible by the number (12) 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 138709872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240175104).

138709872 is an abundant number, since it is smaller than the sum of its proper divisors (341640336).

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

138709872 is a wasteful number, since it uses less digits than its factorization.

138709872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 138709872 is about 11777.5155274786. The cubic root of 138709872 is about 517.6494898241.

The spelling of 138709872 in words is "one hundred thirty-eight million, seven hundred nine thousand, eight hundred seventy-two".