139935388032000 has 2112 divisors, whose sum is σ = 572317693234560. Its totient is φ = 32567721984000.

The previous prime is 139935388031981. The next prime is 139935388032001. The reversal of 139935388032000 is 230883539931.

It is a happy number.

139935388032000 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 3 + 538 + 80 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139935388032001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70925183014 + ... + 70925184986.

Almost surely, 2^{139935388032000} is an apocalyptic number.

139935388032000 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 139935388032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286158846617280).

139935388032000 is an abundant number, since it is smaller than the sum of its proper divisors (432382305202560).

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

139935388032000 is a wasteful number, since it uses less digits than its factorization.

139935388032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 139935388032000 in words is "one hundred thirty-nine trillion, nine hundred thirty-five billion, three hundred eighty-eight million, thirty-two thousand".