133488 has 50 divisors (see below), whose sum is σ = 390104. Its totient is φ = 44064.

The previous prime is 133481. The next prime is 133493. The reversal of 133488 is 884331.

It is a super-2 number, since 2×133488² = 35638092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133481) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1245 + ... + 1347.

2¹³³⁴⁸⁸ is an apocalyptic number.

133488 is a gapful number since it is divisible by the number (18) 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 133488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195052).

133488 is an abundant number, since it is smaller than the sum of its proper divisors (256616).

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

133488 is a wasteful number, since it uses less digits than its factorization.

133488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 133488 is about 365.3600963433. The cubic root of 133488 is about 51.1070416140.

It can be divided in two parts, 1 and 33488, that added together give a square (33489 = 183²).

The spelling of 133488 in words is "one hundred thirty-three thousand, four hundred eighty-eight".