45138 has 8 divisors (see below), whose sum is σ = 90288. Its totient is φ = 15044.

The previous prime is 45137. The next prime is 45139. The reversal of 45138 is 83154.

It is an interprime number because it is at equal distance from previous prime (45137) and next prime (45139).

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

45138 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (45131) 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, 3756 + ... + 3767.

It is an arithmetic number, because the mean of its divisors is an integer number (11286).

2⁴⁵¹³⁸ is an apocalyptic number.

45138 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45144).

45138 is a wasteful number, since it uses less digits than its factorization.

45138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7528.

The product of its digits is 480, while the sum is 21.

The square root of 45138 is about 212.4570544840. The cubic root of 45138 is about 35.6052552945.

The spelling of 45138 in words is "forty-five thousand, one hundred thirty-eight".