133668864 has 252 divisors, whose sum is σ = 461312514. Its totient is φ = 37158912.

The previous prime is 133668851. The next prime is 133668877. The reversal of 133668864 is 468866331.

It is an interprime number because it is at equal distance from previous prime (133668851) and next prime (133668877).

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 45158400 = 9408^2 + 6720^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3612654 + ... + 3612690.

Almost surely, 2^133668864 is an apocalyptic number.

133668864 is a gapful number since it is divisible by the number (14) 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 133668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230656257).

133668864 is an abundant number, since it is smaller than the sum of its proper divisors (327643650).

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

133668864 is an equidigital number, since it uses as much as digits as its factorization.

133668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 49 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 133668864 is about 11561.5251589053. The cubic root of 133668864 is about 511.3011298230.

The spelling of 133668864 in words is "one hundred thirty-three million, six hundred sixty-eight thousand, eight hundred sixty-four".