138772080 has 120 divisors (see below), whose sum is σ = 471084432. Its totient is φ = 36605952.

The previous prime is 138772079. The next prime is 138772091. The reversal of 138772080 is 80277831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68847 + ... + 70833.

Almost surely, 2^138772080 is an apocalyptic number.

138772080 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 138772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235542216).

138772080 is an abundant number, since it is smaller than the sum of its proper divisors (332312352).

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

138772080 is a wasteful number, since it uses less digits than its factorization.

138772080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 138772080 is about 11780.1561959084. The cubic root of 138772080 is about 517.7268626558.

The spelling of 138772080 in words is "one hundred thirty-eight million, seven hundred seventy-two thousand, eighty".