137274229248 has 640 divisors, whose sum is σ = 431034912000. Its totient is φ = 38496632832.

The previous prime is 137274229193. The next prime is 137274229283. The reversal of 137274229248 is 842922472731.

It is a happy number.

137274229248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137274229248.

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 63 ways as a sum of consecutive naturals, for example, 921303478 + ... + 921303626.

It is an arithmetic number, because the mean of its divisors is an integer number (673492050).

Almost surely, 2^137274229248 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 137274229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215517456000).

137274229248 is an abundant number, since it is smaller than the sum of its proper divisors (293760682752).

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

137274229248 is a wasteful number, since it uses less digits than its factorization.

137274229248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 137274229248 in words is "one hundred thirty-seven billion, two hundred seventy-four million, two hundred twenty-nine thousand, two hundred forty-eight".