138754 has 32 divisors (see below), whose sum is σ = 279936. Its totient is φ = 49920.

The previous prime is 138739. The next prime is 138763. The reversal of 138754 is 457831.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2592 + ... + 2644.

It is an arithmetic number, because the mean of its divisors is an integer number (8748).

2¹³⁸⁷⁵⁴ is an apocalyptic number.

138754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138754 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.

138754 is a wasteful number, since it uses less digits than its factorization.

138754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90.

The product of its digits is 3360, while the sum is 28.

The square root of 138754 is about 372.4969798535. The cubic root of 138754 is about 51.7704377566.

It can be divided in two parts, 1387 and 54, that added together give a palindrome (1441).

The spelling of 138754 in words is "one hundred thirty-eight thousand, seven hundred fifty-four".