133540 has 24 divisors (see below), whose sum is σ = 306432. Its totient is φ = 48480.

The previous prime is 133519. The next prime is 133541. The reversal of 133540 is 45331.

133540 = T₉₉ + T₁₀₀ + ... + T₁₂₀.

It is not an unprimeable number, because it can be changed into a prime (133541) 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, 84 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2¹³³⁵⁴⁰ is an apocalyptic number.

133540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133540 is an abundant number, since it is smaller than the sum of its proper divisors (172892).

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

133540 is a wasteful number, since it uses less digits than its factorization.

133540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 133540 is about 365.4312520844. The cubic root of 133540 is about 51.1136769698.

Adding to 133540 its reverse (45331), we get a palindrome (178871).

Subtracting from 133540 its reverse (45331), we obtain a square (88209 = 297²).

It can be divided in two parts, 13 and 3540, that added together give a palindrome (3553).

The spelling of 133540 in words is "one hundred thirty-three thousand, five hundred forty".