138297920 has 112 divisors (see below), whose sum is σ = 344107008. Its totient is φ = 52899840.

The previous prime is 138297917. The next prime is 138297931. The reversal of 138297920 is 29792831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088897 + ... + 1089023.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 2^138297920 is an apocalyptic number.

138297920 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 138297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

138297920 is an abundant number, since it is smaller than the sum of its proper divisors (205809088).

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

138297920 is a wasteful number, since it uses less digits than its factorization.

138297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 138297920 is about 11760.0136054343. The cubic root of 138297920 is about 517.1365289837.

The spelling of 138297920 in words is "one hundred thirty-eight million, two hundred ninety-seven thousand, nine hundred twenty".