137244648512448 has 672 divisors, whose sum is σ = 427497135636480. Its totient is φ = 41972392028160.

The previous prime is 137244648512441. The next prime is 137244648512483. The reversal of 137244648512448 is 844215846442731.

137244648512448 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 4 + 464 + 8 + 5 + 124 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137244648512441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41501252811 + ... + 41501256117.

It is an arithmetic number, because the mean of its divisors is an integer number (636156451840).

Almost surely, 2^{137244648512448} is an apocalyptic number.

137244648512448 is a gapful number since it is divisible by the number (18) 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 137244648512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213748567818240).

137244648512448 is an abundant number, since it is smaller than the sum of its proper divisors (290252487124032).

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

137244648512448 is a wasteful number, since it uses less digits than its factorization.

137244648512448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4232 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 63.

The spelling of 137244648512448 in words is "one hundred thirty-seven trillion, two hundred forty-four billion, six hundred forty-eight million, five hundred twelve thousand, four hundred forty-eight".