133765248 has 128 divisors (see below), whose sum is σ = 388938240. Its totient is φ = 40550400.

The previous prime is 133765241. The next prime is 133765277. The reversal of 133765248 is 842567331.

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

It is not an unprimeable number, because it can be changed into a prime (133765241) 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, 202038 + ... + 202698.

It is an arithmetic number, because the mean of its divisors is an integer number (3038580).

Almost surely, 2^133765248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194469120).

133765248 is an abundant number, since it is smaller than the sum of its proper divisors (255172992).

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

133765248 is a wasteful number, since it uses less digits than its factorization.

133765248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 133765248 is about 11565.6927159596. The cubic root of 133765248 is about 511.4239941569.

The spelling of 133765248 in words is "one hundred thirty-three million, seven hundred sixty-five thousand, two hundred forty-eight".