133126632 has 32 divisors (see below), whose sum is σ = 369796800. Its totient is φ = 44375472.

The previous prime is 133126627. The next prime is 133126639. The reversal of 133126632 is 236621331.

It is a happy number.

133126632 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 26 + 632 = 666.

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 junction number, because it is equal to n+sod(n) for n = 133126596 and 133126605.

It is not an unprimeable number, because it can be changed into a prime (133126639) 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, 307948 + ... + 308379.

It is an arithmetic number, because the mean of its divisors is an integer number (11556150).

Almost surely, 2^133126632 is an apocalyptic number.

133126632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133126632 is an abundant number, since it is smaller than the sum of its proper divisors (236670168).

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

133126632 is a wasteful number, since it uses less digits than its factorization.

133126632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616342 (or 616332 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 133126632 is about 11538.0514819444. The cubic root of 133126632 is about 510.6088230886.

Adding to 133126632 its reverse (236621331), we get a palindrome (369747963).

The spelling of 133126632 in words is "one hundred thirty-three million, one hundred twenty-six thousand, six hundred thirty-two".