138160 has 40 divisors (see below), whose sum is σ = 352656. Its totient is φ = 49920.

The previous prime is 138157. The next prime is 138163. The reversal of 138160 is 61831.

138160 = 48² + 49² + ... + 80².

It is an interprime number because it is at equal distance from previous prime (138157) and next prime (138163).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (138163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802 + ... + 958.

2¹³⁸¹⁶⁰ is an apocalyptic number.

138160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176328).

138160 is an abundant number, since it is smaller than the sum of its proper divisors (214496).

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

138160 is a wasteful number, since it uses less digits than its factorization.

138160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 138160 is about 371.6988027960. The cubic root of 138160 is about 51.6964564014.

Adding to 138160 its reverse (61831), we get a palindrome (199991).

It can be divided in two parts, 1381 and 60, that added together give a palindrome (1441).

The spelling of 138160 in words is "one hundred thirty-eight thousand, one hundred sixty".