137930100 has 216 divisors, whose sum is σ = 507030048. Its totient is φ = 28627200.

The previous prime is 137930099. The next prime is 137930113. The reversal of 137930100 is 1039731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161274 + ... + 162126.

Almost surely, 2^137930100 is an apocalyptic number.

137930100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137930100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253515024).

137930100 is an abundant number, since it is smaller than the sum of its proper divisors (369099948).

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

137930100 is a wasteful number, since it uses less digits than its factorization.

137930100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 24.

The square root of 137930100 is about 11744.3646060568. The cubic root of 137930100 is about 516.6776596112.

Adding to 137930100 its reverse (1039731), we get a palindrome (138969831).

The spelling of 137930100 in words is "one hundred thirty-seven million, nine hundred thirty thousand, one hundred".