138180720 has 40 divisors (see below), whose sum is σ = 428360976. Its totient is φ = 36848128.

The previous prime is 138180683. The next prime is 138180739. The reversal of 138180720 is 27081831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×138180720² = 38187822759436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287637 + ... + 288116.

Almost surely, 2^138180720 is an apocalyptic number.

138180720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138180720 is an abundant number, since it is smaller than the sum of its proper divisors (290180256).

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

138180720 is a wasteful number, since it uses less digits than its factorization.

138180720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575769 (or 575763 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 138180720 is about 11755.0295618514. The cubic root of 138180720 is about 516.9904059616.

The spelling of 138180720 in words is "one hundred thirty-eight million, one hundred eighty thousand, seven hundred twenty".