137630 has 8 divisors (see below), whose sum is σ = 247752. Its totient is φ = 55048.

The previous prime is 137623. The next prime is 137633. The reversal of 137630 is 36731.

137630 is nontrivially palindromic in base 11.

137630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 6³ + 7⁶ + 3⁹ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6872 + ... + 6891.

It is an arithmetic number, because the mean of its divisors is an integer number (30969).

2¹³⁷⁶³⁰ is an apocalyptic number.

137630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137630 is a deficient number, since it is larger than the sum of its proper divisors (110122).

137630 is a wasteful number, since it uses less digits than its factorization.

137630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13770.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 137630 is about 370.9851749060. The cubic root of 137630 is about 51.6302668813.

It can be divided in two parts, 137 and 630, that added together give a palindrome (767).

The spelling of 137630 in words is "one hundred thirty-seven thousand, six hundred thirty".