137267324700960 has 768 divisors, whose sum is σ = 456497233920000. Its totient is φ = 34625307340800.

The previous prime is 137267324700943. The next prime is 137267324700997. The reversal of 137267324700960 is 69007423762731.

It is a self number, because there is not a number n which added to its sum of digits gives 137267324700960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188813376117 + ... + 188813376843.

It is an arithmetic number, because the mean of its divisors is an integer number (594397440000).

Almost surely, 2^{137267324700960} is an apocalyptic number.

137267324700960 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 137267324700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228248616960000).

137267324700960 is an abundant number, since it is smaller than the sum of its proper divisors (319229909219040).

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

137267324700960 is a wasteful number, since it uses less digits than its factorization.

137267324700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 57.

The spelling of 137267324700960 in words is "one hundred thirty-seven trillion, two hundred sixty-seven billion, three hundred twenty-four million, seven hundred thousand, nine hundred sixty".