137312010 has 144 divisors (see below), whose sum is σ = 407822688. Its totient is φ = 33216480.

The previous prime is 137311997. The next prime is 137312017. The reversal of 137312010 is 10213731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (137312017) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 293797 + ... + 294263.

It is an arithmetic number, because the mean of its divisors is an integer number (2832102).

Almost surely, 2^137312010 is an apocalyptic number.

137312010 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 137312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203911344).

137312010 is an abundant number, since it is smaller than the sum of its proper divisors (270510678).

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

137312010 is a wasteful number, since it uses less digits than its factorization.

137312010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 137312010 is about 11718.0207373088. The cubic root of 137312010 is about 515.9047282191.

Adding to 137312010 its reverse (10213731), we get a palindrome (147525741).

The spelling of 137312010 in words is "one hundred thirty-seven million, three hundred twelve thousand, ten".