139048372512000 has 1296 divisors, whose sum is σ = 584203815795600. Its totient is φ = 31663470182400.

The previous prime is 139048372511987. The next prime is 139048372512031. The reversal of 139048372512000 is 215273840931.

It is a happy number.

139048372512000 is a `hidden beast` number, since 1 + 3 + 90 + 48 + 3 + 7 + 2 + 512 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43853850706176 + 95194521805824 = 6622224^2 + 9756768^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3796109686 + ... + 3796146314.

It is an arithmetic number, because the mean of its divisors is an integer number (450774549225).

Almost surely, 2^{139048372512000} is an apocalyptic number.

139048372512000 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 139048372512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292101907897800).

139048372512000 is an abundant number, since it is smaller than the sum of its proper divisors (445155443283600).

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

139048372512000 is a wasteful number, since it uses less digits than its factorization.

139048372512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36949 (or 36915 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 139048372512000 in words is "one hundred thirty-nine trillion, forty-eight billion, three hundred seventy-two million, five hundred twelve thousand".