138379740120 has 512 divisors, whose sum is σ = 491692032000. Its totient is φ = 34545139200.

The previous prime is 138379740091. The next prime is 138379740181. The reversal of 138379740120 is 21047973831.

138379740120 is a `hidden beast` number, since 138 + 3 + 7 + 97 + 401 + 20 = 666.

It is a super-2 number, since 2×138379740120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 296316127 + ... + 296316593.

It is an arithmetic number, because the mean of its divisors is an integer number (960336000).

Almost surely, 2^138379740120 is an apocalyptic number.

138379740120 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 138379740120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245846016000).

138379740120 is an abundant number, since it is smaller than the sum of its proper divisors (353312291880).

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

138379740120 is a wasteful number, since it uses less digits than its factorization.

138379740120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 138379740120 in words is "one hundred thirty-eight billion, three hundred seventy-nine million, seven hundred forty thousand, one hundred twenty".