133607040 has 128 divisors (see below), whose sum is σ = 486760320. Its totient is φ = 30535680.

The previous prime is 133607021. The next prime is 133607053. The reversal of 133607040 is 40706331.

133607040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×133607040² = 35701682275123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133607040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8470 + ... + 18410.

It is an arithmetic number, because the mean of its divisors is an integer number (3802815).

Almost surely, 2^133607040 is an apocalyptic number.

133607040 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 133607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243380160).

133607040 is an abundant number, since it is smaller than the sum of its proper divisors (353153280).

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

133607040 is an equidigital number, since it uses as much as digits as its factorization.

133607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 133607040 is about 11558.8511539858. The cubic root of 133607040 is about 511.2222893340. Note that the first 4 decimals are identical.

The spelling of 133607040 in words is "one hundred thirty-three million, six hundred seven thousand, forty".