138489072 has 160 divisors (see below), whose sum is σ = 406259712. Its totient is φ = 40415232.

The previous prime is 138489019. The next prime is 138489097. The reversal of 138489072 is 270984831.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 882018 + ... + 882174.

Almost surely, 2^138489072 is an apocalyptic number.

138489072 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 138489072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203129856).

138489072 is an abundant number, since it is smaller than the sum of its proper divisors (267770640).

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

138489072 is a wasteful number, since it uses less digits than its factorization.

138489072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 138489072 is about 11768.1380005505. The cubic root of 138489072 is about 517.3746771141.

The spelling of 138489072 in words is "one hundred thirty-eight million, four hundred eighty-nine thousand, seventy-two".