133712640 has 288 divisors, whose sum is σ = 490069440. Its totient is φ = 34504704.

The previous prime is 133712627. The next prime is 133712653. The reversal of 133712640 is 46217331.

133712640 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 12 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (133712627) and next prime (133712653).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831644 + ... + 1831716.

It is an arithmetic number, because the mean of its divisors is an integer number (1701630).

Almost surely, 2^133712640 is an apocalyptic number.

133712640 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 133712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245034720).

133712640 is an abundant number, since it is smaller than the sum of its proper divisors (356356800).

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

133712640 is an equidigital number, since it uses as much as digits as its factorization.

133712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 133712640 is about 11563.4181797598. The cubic root of 133712640 is about 511.3569400658.

Adding to 133712640 its reverse (46217331), we get a palindrome (179929971).

The spelling of 133712640 in words is "one hundred thirty-three million, seven hundred twelve thousand, six hundred forty".