137712472294272 has 512 divisors, whose sum is σ = 382729253437440. Its totient is φ = 43834394419200.

The previous prime is 137712472294231. The next prime is 137712472294279. The reversal of 137712472294272 is 272492274217731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137712472294279) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169805760747 + ... + 169805761557.

It is an arithmetic number, because the mean of its divisors is an integer number (747518073120).

Almost surely, 2^{137712472294272} is an apocalyptic number.

137712472294272 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 137712472294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191364626718720).

137712472294272 is an abundant number, since it is smaller than the sum of its proper divisors (245016781143168).

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

137712472294272 is a wasteful number, since it uses less digits than its factorization.

137712472294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1710 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 60.

The spelling of 137712472294272 in words is "one hundred thirty-seven trillion, seven hundred twelve billion, four hundred seventy-two million, two hundred ninety-four thousand, two hundred seventy-two".