137352100 has 18 divisors (see below), whose sum is σ = 298054274. Its totient is φ = 54940800.

The previous prime is 137352073. The next prime is 137352109. The reversal of 137352100 is 1253731.

137352100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 32330596 + 105021504 = 5686^2 + 10248^2 .

It is not an unprimeable number, because it can be changed into a prime (137352109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 686661 + ... + 686860.

Almost surely, 2^137352100 is an apocalyptic number.

137352100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137352100 is an abundant number, since it is smaller than the sum of its proper divisors (160702174).

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

137352100 is a wasteful number, since it uses less digits than its factorization.

137352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373535 (or 1373528 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 137352100 is about 11719.7312255870. The cubic root of 137352100 is about 515.9549316646.

The spelling of 137352100 in words is "one hundred thirty-seven million, three hundred fifty-two thousand, one hundred".