137014090900 has 36 divisors (see below), whose sum is σ = 297891363420. Its totient is φ = 54700422400.

The previous prime is 137014090859. The next prime is 137014090903. The reversal of 137014090900 is 9090410731.

It can be written as a sum of positive squares in 6 ways, for example, as 19411734276 + 117602356624 = 139326^2 + 342932^2 .

It is a super-2 number, since 2×137014090900² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137014090903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1262815 + ... + 1367014.

It is an arithmetic number, because the mean of its divisors is an integer number (8274760095).

Almost surely, 2^137014090900 is an apocalyptic number.

137014090900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137014090900 is an abundant number, since it is smaller than the sum of its proper divisors (160877272520).

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

137014090900 is a wasteful number, since it uses less digits than its factorization.

137014090900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630364 (or 2630357 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 137014090900 in words is "one hundred thirty-seven billion, fourteen million, ninety thousand, nine hundred".