139937327712 has 288 divisors, whose sum is σ = 490311843840. Its totient is φ = 36866534400.

The previous prime is 139937327701. The next prime is 139937327731. The reversal of 139937327712 is 217723739931.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30163089 + ... + 30167727.

It is an arithmetic number, because the mean of its divisors is an integer number (1702471680).

Almost surely, 2^139937327712 is an apocalyptic number.

139937327712 is a gapful number since it is divisible by the number (12) 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 139937327712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245155921920).

139937327712 is an abundant number, since it is smaller than the sum of its proper divisors (350374516128).

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

139937327712 is a wasteful number, since it uses less digits than its factorization.

139937327712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5815 counting only the distinct ones).

The product of its digits is 3000564, while the sum is 54.

The spelling of 139937327712 in words is "one hundred thirty-nine billion, nine hundred thirty-seven million, three hundred twenty-seven thousand, seven hundred twelve".