137189808 has 120 divisors (see below), whose sum is σ = 458147760. Its totient is φ = 39191040.

The previous prime is 137189783. The next prime is 137189827. The reversal of 137189808 is 808981731.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17928 + ... + 24408.

It is an arithmetic number, because the mean of its divisors is an integer number (3817898).

Almost surely, 2^137189808 is an apocalyptic number.

137189808 is a gapful number since it is divisible by the number (18) 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 137189808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229073880).

137189808 is an abundant number, since it is smaller than the sum of its proper divisors (320957952).

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

137189808 is a wasteful number, since it uses less digits than its factorization.

137189808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 137189808 is about 11712.8053001832. The cubic root of 137189808 is about 515.7516381842.

The spelling of 137189808 in words is "one hundred thirty-seven million, one hundred eighty-nine thousand, eight hundred eight".