138360 has 32 divisors (see below), whose sum is σ = 415440. Its totient is φ = 36864.

The previous prime is 138349. The next prime is 138371. The reversal of 138360 is 63831.

It is an interprime number because it is at equal distance from previous prime (138349) and next prime (138371).

It is a congruent number.

It is an unprimeable number.

138360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 696.

2¹³⁸³⁶⁰ is an apocalyptic number.

138360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138360 is an abundant number, since it is smaller than the sum of its proper divisors (277080).

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

138360 is a wasteful number, since it uses less digits than its factorization.

138360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 138360 is about 371.9677405367. The cubic root of 138360 is about 51.7213895858.

Subtracting from 138360 its reverse (63831), we obtain a square (74529 = 273²).

The spelling of 138360 in words is "one hundred thirty-eight thousand, three hundred sixty".