138578191632000 has 384 divisors, whose sum is σ = 516101127796800. Its totient is φ = 36954183398400.

The previous prime is 138578191631977. The next prime is 138578191632037. The reversal of 138578191632000 is 236191875831.

138578191632000 is a `hidden beast` number, since 1 + 3 + 8 + 578 + 1 + 9 + 1 + 63 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13933270 + ... + 21709269.

Almost surely, 2^{138578191632000} is an apocalyptic number.

138578191632000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138578191632000 is an abundant number, since it is smaller than the sum of its proper divisors (377522936164800).

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

138578191632000 is an frugal number, since it uses more digits than its factorization.

138578191632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35642583 (or 35642549 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 138578191632000 in words is "one hundred thirty-eight trillion, five hundred seventy-eight billion, one hundred ninety-one million, six hundred thirty-two thousand".