133639296 has 128 divisors (see below), whose sum is σ = 411264000. Its totient is φ = 37659648.

The previous prime is 133639291. The next prime is 133639309. The reversal of 133639296 is 692936331.

133639296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×133639296² = 35718922870751232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (133639291) 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, 222805 + ... + 223403.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2^133639296 is an apocalyptic number.

133639296 is a gapful number since it is divisible by the number (16) 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 133639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

133639296 is an abundant number, since it is smaller than the sum of its proper divisors (277624704).

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

133639296 is an equidigital number, since it uses as much as digits as its factorization.

133639296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its digits is 157464, while the sum is 42.

The square root of 133639296 is about 11560.2463641568. The cubic root of 133639296 is about 511.2634265359.

The spelling of 133639296 in words is "one hundred thirty-three million, six hundred thirty-nine thousand, two hundred ninety-six".