133582008 has 64 divisors (see below), whose sum is σ = 401760000. Its totient is φ = 36156672.

The previous prime is 133582003. The next prime is 133582013. The reversal of 133582008 is 800285331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133582003) and next prime (133582013).

It is a super-2 number, since 2×133582008² = 35688305722624128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133582003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17733 + ... + 24116.

It is an arithmetic number, because the mean of its divisors is an integer number (6277500).

Almost surely, 2^133582008 is an apocalyptic number.

It is an amenable number.

133582008 is an abundant number, since it is smaller than the sum of its proper divisors (268177992).

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

133582008 is a wasteful number, since it uses less digits than its factorization.

133582008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41884 (or 41880 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 133582008 is about 11557.7682966912. The cubic root of 133582008 is about 511.1903605883.

The spelling of 133582008 in words is "one hundred thirty-three million, five hundred eighty-two thousand, eight".