137820204 has 60 divisors (see below), whose sum is σ = 365287384. Its totient is φ = 45302976.

The previous prime is 137820187. The next prime is 137820211. The reversal of 137820204 is 402028731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20739 + ... + 26565.

Almost surely, 2^137820204 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 137820204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182643692).

137820204 is an abundant number, since it is smaller than the sum of its proper divisors (227467180).

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

137820204 is a wasteful number, since it uses less digits than its factorization.

137820204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 137820204 is about 11739.6850042921. The cubic root of 137820204 is about 516.5404019354.

Adding to 137820204 its reverse (402028731), we get a palindrome (539848935).

The spelling of 137820204 in words is "one hundred thirty-seven million, eight hundred twenty thousand, two hundred four".