137735010 has 48 divisors (see below), whose sum is σ = 409271616. Its totient is φ = 31482144.

The previous prime is 137734997. The next prime is 137735021. The reversal of 137735010 is 10537731.

137735010 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 23 ways as a sum of consecutive naturals, for example, 108684 + ... + 109943.

It is an arithmetic number, because the mean of its divisors is an integer number (8526492).

Almost surely, 2^137735010 is an apocalyptic number.

137735010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137735010 is an abundant number, since it is smaller than the sum of its proper divisors (271536606).

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

137735010 is a wasteful number, since it uses less digits than its factorization.

137735010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218647 (or 218644 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 137735010 is about 11736.0559814616. The cubic root of 137735010 is about 516.4339462965.

The spelling of 137735010 in words is "one hundred thirty-seven million, seven hundred thirty-five thousand, ten".