137841050440 has 64 divisors (see below), whose sum is σ = 317825046000. Its totient is φ = 53771612160.

The previous prime is 137841050371. The next prime is 137841050449. The reversal of 137841050440 is 44050148731.

It can be written as a sum of positive squares in 8 ways, for example, as 246050596 + 137594999844 = 15686^2 + 370938^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137841050440.

It is not an unprimeable number, because it can be changed into a prime (137841050449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4855006 + ... + 4883314.

Almost surely, 2^137841050440 is an apocalyptic number.

137841050440 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 137841050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158912523000).

137841050440 is an abundant number, since it is smaller than the sum of its proper divisors (179983995560).

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

137841050440 is a wasteful number, since it uses less digits than its factorization.

137841050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31330 (or 31326 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 137841050440 in words is "one hundred thirty-seven billion, eight hundred forty-one million, fifty thousand, four hundred forty".