138920454000 has 320 divisors, whose sum is σ = 502315706880. Its totient is φ = 36697708800.

The previous prime is 138920453999. The next prime is 138920454031. The reversal of 138920454000 is 454029831.

138920454000 is a `hidden beast` number, since 13 + 89 + 20 + 4 + 540 + 0 + 0 = 666.

It is a super-2 number, since 2×138920454000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5765979 + ... + 5790021.

It is an arithmetic number, because the mean of its divisors is an integer number (1569736584).

Almost surely, 2^138920454000 is an apocalyptic number.

138920454000 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 138920454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251157853440).

138920454000 is an abundant number, since it is smaller than the sum of its proper divisors (363395252880).

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

138920454000 is a wasteful number, since it uses less digits than its factorization.

138920454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24182 (or 24160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 138920454000 in words is "one hundred thirty-eight billion, nine hundred twenty million, four hundred fifty-four thousand".