137109294336 has 432 divisors, whose sum is σ = 452307766400. Its totient is φ = 36849254400.

The previous prime is 137109294317. The next prime is 137109294373. The reversal of 137109294336 is 633492901731.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76128636 + ... + 76130436.

Almost surely, 2^137109294336 is an apocalyptic number.

137109294336 is a gapful number since it is divisible by the number (16) 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 137109294336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226153883200).

137109294336 is an abundant number, since it is smaller than the sum of its proper divisors (315198472064).

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

137109294336 is an equidigital number, since it uses as much as digits as its factorization.

137109294336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 137109294336 in words is "one hundred thirty-seven billion, one hundred nine million, two hundred ninety-four thousand, three hundred thirty-six".