137132010 has 48 divisors (see below), whose sum is σ = 368844840. Its totient is φ = 35306880.

The previous prime is 137131999. The next prime is 137132011. The reversal of 137132010 is 10231731.

It can be written as a sum of positive squares in 4 ways, for example, as 135699201 + 1432809 = 11649^2 + 1197^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137132011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23661 + ... + 28880.

Almost surely, 2^137132010 is an apocalyptic number.

137132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137132010 is an abundant number, since it is smaller than the sum of its proper divisors (231712830).

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

137132010 is a wasteful number, since it uses less digits than its factorization.

137132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52583 (or 52580 counting only the distinct ones).

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

The square root of 137132010 is about 11710.3377406461. The cubic root of 137132010 is about 515.6791993716.

Adding to 137132010 its reverse (10231731), we get a palindrome (147363741).

The spelling of 137132010 in words is "one hundred thirty-seven million, one hundred thirty-two thousand, ten".