138597120 has 216 divisors, whose sum is σ = 490731696. Its totient is φ = 36102144.

The previous prime is 138597113. The next prime is 138597133. The reversal of 138597120 is 21795831.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610447 + ... + 610673.

It is an arithmetic number, because the mean of its divisors is an integer number (2271906).

Almost surely, 2^138597120 is an apocalyptic number.

138597120 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 138597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245365848).

138597120 is an abundant number, since it is smaller than the sum of its proper divisors (352134576).

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

138597120 is a wasteful number, since it uses less digits than its factorization.

138597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 138597120 is about 11772.7278062478. The cubic root of 138597120 is about 517.5091925833.

The spelling of 138597120 in words is "one hundred thirty-eight million, five hundred ninety-seven thousand, one hundred twenty".