138430760832000 has 4224 divisors, whose sum is σ = 647022834432000. Its totient is φ = 29165101056000.

The previous prime is 138430760831953. The next prime is 138430760832031. The reversal of 138430760832000 is 238067034831.

138430760832000 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 3 + 0 + 7 + 608 + 32 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 200333951655 + ... + 200333952345.

Almost surely, 2^{138430760832000} is an apocalyptic number.

138430760832000 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 138430760832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323511417216000).

138430760832000 is an abundant number, since it is smaller than the sum of its proper divisors (508592073600000).

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

138430760832000 is an equidigital number, since it uses as much as digits as its factorization.

138430760832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 138430760832000 in words is "one hundred thirty-eight trillion, four hundred thirty billion, seven hundred sixty million, eight hundred thirty-two thousand".