137364247680 has 256 divisors, whose sum is σ = 478112025600. Its totient is φ = 33268428800.

The previous prime is 137364247673. The next prime is 137364247681. The reversal of 137364247680 is 86742463731.

It is not an unprimeable number, because it can be changed into a prime (137364247681) 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, 27854815 + ... + 27859745.

It is an arithmetic number, because the mean of its divisors is an integer number (1867625100).

Almost surely, 2^137364247680 is an apocalyptic number.

137364247680 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 137364247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239056012800).

137364247680 is an abundant number, since it is smaller than the sum of its proper divisors (340747777920).

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

137364247680 is a wasteful number, since it uses less digits than its factorization.

137364247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6283 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 137364247680 in words is "one hundred thirty-seven billion, three hundred sixty-four million, two hundred forty-seven thousand, six hundred eighty".