138092880 has 80 divisors (see below), whose sum is σ = 439686144. Its totient is φ = 35827200.

The previous prime is 138092873. The next prime is 138092881. The reversal of 138092880 is 88290831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138092881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105 + ... + 16655.

Almost surely, 2^138092880 is an apocalyptic number.

138092880 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 138092880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219843072).

138092880 is an abundant number, since it is smaller than the sum of its proper divisors (301593264).

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

138092880 is a wasteful number, since it uses less digits than its factorization.

138092880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15604 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 138092880 is about 11751.2926948485. The cubic root of 138092880 is about 516.8808343239.

The spelling of 138092880 in words is "one hundred thirty-eight million, ninety-two thousand, eight hundred eighty".