135400 has 24 divisors (see below), whose sum is σ = 315270. Its totient is φ = 54080.

The previous prime is 135391. The next prime is 135403. The reversal of 135400 is 4531.

It can be written as a sum of positive squares in 3 ways, for example, as 131044 + 4356 = 362^2 + 66^2 .

It is not an unprimeable number, because it can be changed into a prime (135403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139 + ... + 538.

2¹³⁵⁴⁰⁰ is an apocalyptic number.

135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135400 is an abundant number, since it is smaller than the sum of its proper divisors (179870).

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

135400 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 135400 = (410350)₈.

135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 135400 is about 367.9673898595. The cubic root of 135400 is about 51.3498943960.

Adding to 135400 its product of nonzero digits (60), we get a triangular number (135460 = T₅₂₀).

Adding to 135400 its reverse (4531), we get a palindrome (139931).

It can be divided in two parts, 135 and 400, that added together give a palindrome (535).

The spelling of 135400 in words is "one hundred thirty-five thousand, four hundred".