137354135232756 has 96 divisors (see below), whose sum is σ = 347217175952640. Its totient is φ = 42259329211008.

The previous prime is 137354135232709. The next prime is 137354135232757. The reversal of 137354135232756 is 657232531453731.

It is a junction number, because it is equal to n+sod(n) for n = 137354135232696 and 137354135232705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137354135232757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329420746 + ... + 329837438.

It is an arithmetic number, because the mean of its divisors is an integer number (3616845582840).

Almost surely, 2^{137354135232756} 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 137354135232756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173608587976320).

137354135232756 is an abundant number, since it is smaller than the sum of its proper divisors (209863040719884).

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

137354135232756 is a wasteful number, since it uses less digits than its factorization.

137354135232756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429242 (or 429214 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 57.

The spelling of 137354135232756 in words is "one hundred thirty-seven trillion, three hundred fifty-four billion, one hundred thirty-five million, two hundred thirty-two thousand, seven hundred fifty-six".