138280992030720 has 2400 divisors, whose sum is σ = 621192512134656. Its totient is φ = 28589005209600.

The previous prime is 138280992030679. The next prime is 138280992030751. The reversal of 138280992030720 is 27030299082831.

138280992030720 is a `hidden beast` number, since 1 + 3 + 8 + 280 + 99 + 203 + 0 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123135344079 + ... + 123135345201.

Almost surely, 2^{138280992030720} is an apocalyptic number.

138280992030720 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 138280992030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310596256067328).

138280992030720 is an abundant number, since it is smaller than the sum of its proper divisors (482911520103936).

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

138280992030720 is a wasteful number, since it uses less digits than its factorization.

138280992030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 138280992030720 in words is "one hundred thirty-eight trillion, two hundred eighty billion, nine hundred ninety-two million, thirty thousand, seven hundred twenty".