137093208 has 128 divisors (see below), whose sum is σ = 426816000. Its totient is φ = 35804160.

The previous prime is 137093207. The next prime is 137093233. The reversal of 137093208 is 802390731.

137093208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137093207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91828 + ... + 93308.

It is an arithmetic number, because the mean of its divisors is an integer number (3334500).

Almost surely, 2^137093208 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 137093208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213408000).

137093208 is an abundant number, since it is smaller than the sum of its proper divisors (289722792).

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

137093208 is a wasteful number, since it uses less digits than its factorization.

137093208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 137093208 is about 11708.6808821489. The cubic root of 137093208 is about 515.6305570163.

The spelling of 137093208 in words is "one hundred thirty-seven million, ninety-three thousand, two hundred eight".