137090700 has 108 divisors (see below), whose sum is σ = 452375560. Its totient is φ = 34629120.

The previous prime is 137090699. The next prime is 137090731. The reversal of 137090700 is 7090731.

137090700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 13092 + ... + 21108.

Almost surely, 2^137090700 is an apocalyptic number.

137090700 is a gapful number since it is divisible by the number (10) 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 137090700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226187780).

137090700 is an abundant number, since it is smaller than the sum of its proper divisors (315284860).

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

137090700 is a wasteful number, since it uses less digits than its factorization.

137090700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 137090700 is about 11708.5737816354. The cubic root of 137090700 is about 515.6274126609.

The spelling of 137090700 in words is "one hundred thirty-seven million, ninety thousand, seven hundred".