138970720 has 96 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 47298048.

The previous prime is 138970709. The next prime is 138970721. The reversal of 138970720 is 27079831.

138970720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138970720² = 38625722034636800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138970720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138970721) 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, 186669 + ... + 187411.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2^138970720 is an apocalyptic number.

138970720 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 138970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

138970720 is an abundant number, since it is smaller than the sum of its proper divisors (239005088).

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

138970720 is a wasteful number, since it uses less digits than its factorization.

138970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 138970720 is about 11788.5843085589. The cubic root of 138970720 is about 517.9737716728.

The spelling of 138970720 in words is "one hundred thirty-eight million, nine hundred seventy thousand, seven hundred twenty".