137442314912 has 192 divisors, whose sum is σ = 331112033280. Its totient is φ = 54853687296.

The previous prime is 137442314909. The next prime is 137442314927. The reversal of 137442314912 is 219413244731.

137442314912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137442314912.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62387603 + ... + 62389805.

It is an arithmetic number, because the mean of its divisors is an integer number (1724541840).

Almost surely, 2^137442314912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137442314912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165556016640).

137442314912 is an abundant number, since it is smaller than the sum of its proper divisors (193669718368).

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

137442314912 is a wasteful number, since it uses less digits than its factorization.

137442314912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2475 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The spelling of 137442314912 in words is "one hundred thirty-seven billion, four hundred forty-two million, three hundred fourteen thousand, nine hundred twelve".