137350937472 has 128 divisors (see below), whose sum is σ = 421087334400. Its totient is φ = 38854502400.

The previous prime is 137350937461. The next prime is 137350937473. The reversal of 137350937472 is 274739053731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137350937473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18529 + ... + 524447.

It is an arithmetic number, because the mean of its divisors is an integer number (3289744800).

Almost surely, 2^137350937472 is an apocalyptic number.

137350937472 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 137350937472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210543667200).

137350937472 is an abundant number, since it is smaller than the sum of its proper divisors (283736396928).

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

137350937472 is a wasteful number, since it uses less digits than its factorization.

137350937472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506044 (or 506032 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 51.

The spelling of 137350937472 in words is "one hundred thirty-seven billion, three hundred fifty million, nine hundred thirty-seven thousand, four hundred seventy-two".