133775136 has 72 divisors (see below), whose sum is σ = 415016784. Its totient is φ = 40536960.

The previous prime is 133775123. The next prime is 133775141. The reversal of 133775136 is 631577331.

It is a happy number.

133775136 is a `hidden beast` number, since 133 + 7 + 7 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133775136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17946 + ... + 24281.

It is an arithmetic number, because the mean of its divisors is an integer number (5764122).

Almost surely, 2^133775136 is an apocalyptic number.

133775136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133775136 is an abundant number, since it is smaller than the sum of its proper divisors (281241648).

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

133775136 is a wasteful number, since it uses less digits than its factorization.

133775136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42254 (or 42243 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 133775136 is about 11566.1201792131. The cubic root of 133775136 is about 511.4365954265.

The spelling of 133775136 in words is "one hundred thirty-three million, seven hundred seventy-five thousand, one hundred thirty-six".