137005710 has 96 divisors (see below), whose sum is σ = 351177120. Its totient is φ = 34197504.

The previous prime is 137005699. The next prime is 137005711. The reversal of 137005710 is 17500731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137005711) 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 47 ways as a sum of consecutive naturals, for example, 1412382 + ... + 1412478.

It is an arithmetic number, because the mean of its divisors is an integer number (3658095).

Almost surely, 2^137005710 is an apocalyptic number.

137005710 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 137005710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175588560).

137005710 is an abundant number, since it is smaller than the sum of its proper divisors (214171410).

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

137005710 is a wasteful number, since it uses less digits than its factorization.

137005710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 24.

The square root of 137005710 is about 11704.9438272894. The cubic root of 137005710 is about 515.5208354507.

The spelling of 137005710 in words is "one hundred thirty-seven million, five thousand, seven hundred ten".