138510 has 56 divisors (see below), whose sum is σ = 393480. Its totient is φ = 34992.

The previous prime is 138497. The next prime is 138511. The reversal of 138510 is 15831.

It is a happy number.

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

It is a cake number, because a cake can be divided into 138510 parts by 94 planar cuts.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138511) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7281 + ... + 7299.

2¹³⁸⁵¹⁰ is an apocalyptic number.

138510 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 138510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196740).

138510 is an abundant number, since it is smaller than the sum of its proper divisors (254970).

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

138510 is an equidigital number, since it uses as much as digits as its factorization.

138510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 138510 is about 372.1693163064. The cubic root of 138510 is about 51.7400737105.

The spelling of 138510 in words is "one hundred thirty-eight thousand, five hundred ten".