133478640 has 120 divisors (see below), whose sum is σ = 453520080. Its totient is φ = 35177472.

The previous prime is 133478617. The next prime is 133478641. The reversal of 133478640 is 46874331.

133478640 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 7 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 133478595 and 133478604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133478641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63039 + ... + 65121.

It is an arithmetic number, because the mean of its divisors is an integer number (3779334).

Almost surely, 2^133478640 is an apocalyptic number.

133478640 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 133478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226760040).

133478640 is an abundant number, since it is smaller than the sum of its proper divisors (320041440).

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

133478640 is a wasteful number, since it uses less digits than its factorization.

133478640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 133478640 is about 11553.2956337142. The cubic root of 133478640 is about 511.0584706691.

The spelling of 133478640 in words is "one hundred thirty-three million, four hundred seventy-eight thousand, six hundred forty".