137620701022100 has 36 divisors (see below), whose sum is σ = 298638066245148. Its totient is φ = 55048069344000.

The previous prime is 137620701022099. The next prime is 137620701022159. The reversal of 137620701022100 is 1220107026731.

It can be written as a sum of positive squares in 6 ways, for example, as 24538489805956 + 113082211216144 = 4953634^2 + 10634012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25015370 + ... + 30016830.

It is an arithmetic number, because the mean of its divisors is an integer number (8295501840143).

Almost surely, 2^{137620701022100} is an apocalyptic number.

137620701022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137620701022100 is an abundant number, since it is smaller than the sum of its proper divisors (161017365223048).

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

137620701022100 is a wasteful number, since it uses less digits than its factorization.

137620701022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276636 (or 5276629 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

Adding to 137620701022100 its reverse (1220107026731), we get a palindrome (138840808048831).

The spelling of 137620701022100 in words is "one hundred thirty-seven trillion, six hundred twenty billion, seven hundred one million, twenty-two thousand, one hundred".