137205096 has 96 divisors (see below), whose sum is σ = 422547840. Its totient is φ = 36890112.

The previous prime is 137205091. The next prime is 137205151. The reversal of 137205096 is 690502731.

It is not an unprimeable number, because it can be changed into a prime (137205091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16561 + ... + 23423.

It is an arithmetic number, because the mean of its divisors is an integer number (4401540).

Almost surely, 2^137205096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137205096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211273920).

137205096 is an abundant number, since it is smaller than the sum of its proper divisors (285342744).

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

137205096 is a wasteful number, since it uses less digits than its factorization.

137205096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 137205096 is about 11713.4579010641. The cubic root of 137205096 is about 515.7707953852.

The spelling of 137205096 in words is "one hundred thirty-seven million, two hundred five thousand, ninety-six".