133728896 has 32 divisors (see below), whose sum is σ = 304474080. Its totient is φ = 57312000.

The previous prime is 133728883. The next prime is 133728899. The reversal of 133728896 is 698827331.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 133728896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133728899) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73730 + ... + 75521.

It is an arithmetic number, because the mean of its divisors is an integer number (9514815).

Almost surely, 2^133728896 is an apocalyptic number.

133728896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133728896 is an abundant number, since it is smaller than the sum of its proper divisors (170745184).

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

133728896 is an equidigital number, since it uses as much as digits as its factorization.

133728896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149272 (or 149260 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 133728896 is about 11564.1210647416. The cubic root of 133728896 is about 511.3776618205.

The spelling of 133728896 in words is "one hundred thirty-three million, seven hundred twenty-eight thousand, eight hundred ninety-six".