133432488 has 128 divisors (see below), whose sum is σ = 432480000. Its totient is φ = 38102400.

The previous prime is 133432487. The next prime is 133432517. The reversal of 133432488 is 884234331.

It is a happy number.

133432488 is a `hidden beast` number, since 133 + 43 + 2 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (133432487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73188 + ... + 74988.

It is an arithmetic number, because the mean of its divisors is an integer number (3378750).

Almost surely, 2^133432488 is an apocalyptic number.

133432488 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 133432488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216240000).

133432488 is an abundant number, since it is smaller than the sum of its proper divisors (299047512).

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

133432488 is a wasteful number, since it uses less digits than its factorization.

133432488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1813 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 133432488 is about 11551.2981088707. The cubic root of 133432488 is about 510.9995621439. Note that the first 3 decimals are identical.

The spelling of 133432488 in words is "one hundred thirty-three million, four hundred thirty-two thousand, four hundred eighty-eight".