137050782100 has 18 divisors (see below), whose sum is σ = 297400197374. Its totient is φ = 54820312800.

The previous prime is 137050782079. The next prime is 137050782139. The reversal of 137050782100 is 1287050731.

It can be written as a sum of positive squares in 3 ways, for example, as 26073852676 + 110976929424 = 161474^2 + 333132^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 685253811 + ... + 685254010.

Almost surely, 2^137050782100 is an apocalyptic number.

137050782100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137050782100 is an abundant number, since it is smaller than the sum of its proper divisors (160349415274).

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

137050782100 is a wasteful number, since it uses less digits than its factorization.

137050782100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370507835 (or 1370507828 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 137050782100 in words is "one hundred thirty-seven billion, fifty million, seven hundred eighty-two thousand, one hundred".