138454788736000 has 352 divisors, whose sum is σ = 396648204001920. Its totient is φ = 47697334272000.

The previous prime is 138454788735961. The next prime is 138454788736063. The reversal of 138454788736000 is 637887454831.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24164254 + ... + 29339746.

Almost surely, 2^{138454788736000} is an apocalyptic number.

138454788736000 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 138454788736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198324102000960).

138454788736000 is an abundant number, since it is smaller than the sum of its proper divisors (258193415265920).

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

138454788736000 is a wasteful number, since it uses less digits than its factorization.

138454788736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175558 (or 5175530 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 64.

The spelling of 138454788736000 in words is "one hundred thirty-eight trillion, four hundred fifty-four billion, seven hundred eighty-eight million, seven hundred thirty-six thousand".