137817090 has 48 divisors (see below), whose sum is σ = 361827648. Its totient is φ = 36391968.

The previous prime is 137817083. The next prime is 137817091. The reversal of 137817090 is 90718731.

It is not an unprimeable number, because it can be changed into a prime (137817091) 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 23 ways as a sum of consecutive naturals, for example, 1837 + ... + 16703.

It is an arithmetic number, because the mean of its divisors is an integer number (7538076).

Almost surely, 2^137817090 is an apocalyptic number.

137817090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137817090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180913824).

137817090 is an abundant number, since it is smaller than the sum of its proper divisors (224010558).

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

137817090 is a wasteful number, since it uses less digits than its factorization.

137817090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14983 (or 14980 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 137817090 is about 11739.5523764750. The cubic root of 137817090 is about 516.5365115554.

The spelling of 137817090 in words is "one hundred thirty-seven million, eight hundred seventeen thousand, ninety".