137218384900 has 81 divisors (see below), whose sum is σ = 316454972799. Its totient is φ = 51634978560.

The previous prime is 137218384873. The next prime is 137218384973. The reversal of 137218384900 is 9483812731.

The square root of 137218384900 is 370430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3209675716 + 134008709184 = 56654^2 + 366072^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 62972011 + ... + 62974189.

Almost surely, 2^137218384900 is an apocalyptic number.

137218384900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137218384900 is the 370430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137218384900

137218384900 is an abundant number, since it is smaller than the sum of its proper divisors (179236587899).

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

137218384900 is an equidigital number, since it uses as much as digits as its factorization.

137218384900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 137218384900 in words is "one hundred thirty-seven billion, two hundred eighteen million, three hundred eighty-four thousand, nine hundred".