137650719360 has 1024 divisors, whose sum is σ = 570787430400. Its totient is φ = 27389214720.

The previous prime is 137650719359. The next prime is 137650719391. The reversal of 137650719360 is 63917056731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 375069897 + ... + 375070263.

It is an arithmetic number, because the mean of its divisors is an integer number (557409600).

Almost surely, 2^137650719360 is an apocalyptic number.

137650719360 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 137650719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285393715200).

137650719360 is an abundant number, since it is smaller than the sum of its proper divisors (433136711040).

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

137650719360 is a wasteful number, since it uses less digits than its factorization.

137650719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 48.

The spelling of 137650719360 in words is "one hundred thirty-seven billion, six hundred fifty million, seven hundred nineteen thousand, three hundred sixty".