133696440 has 128 divisors (see below), whose sum is σ = 451584000. Its totient is φ = 35178624.

The previous prime is 133696421. The next prime is 133696441. The reversal of 133696440 is 44696331.

133696440 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 9 + 644 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133696395 and 133696404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133696441) 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, 84537 + ... + 86103.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^133696440 is an apocalyptic number.

133696440 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 133696440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792000).

133696440 is an abundant number, since it is smaller than the sum of its proper divisors (317887560).

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

133696440 is a wasteful number, since it uses less digits than its factorization.

133696440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 133696440 is about 11562.7176736267. The cubic root of 133696440 is about 511.3362880243.

The spelling of 133696440 in words is "one hundred thirty-three million, six hundred ninety-six thousand, four hundred forty".