133947040 has 48 divisors (see below), whose sum is σ = 317896488. Its totient is φ = 53334016.

The previous prime is 133947019. The next prime is 133947049. The reversal of 133947040 is 40749331.

It can be written as a sum of positive squares in 4 ways, for example, as 76247824 + 57699216 = 8732^2 + 7596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133946993 and 133947011.

It is not an unprimeable number, because it can be changed into a prime (133947049) 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, 35484 + ... + 39076.

Almost surely, 2^133947040 is an apocalyptic number.

133947040 is a gapful number since it is divisible by the number (10) 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 133947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158948244).

133947040 is an abundant number, since it is smaller than the sum of its proper divisors (183949448).

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

133947040 is a wasteful number, since it uses less digits than its factorization.

133947040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 133947040 is about 11573.5491531336. The cubic root of 133947040 is about 511.6555707587.

The spelling of 133947040 in words is "one hundred thirty-three million, nine hundred forty-seven thousand, forty".