133547648 has 64 divisors (see below), whose sum is σ = 303435720. Its totient is φ = 57999360.

The previous prime is 133547629. The next prime is 133547653. The reversal of 133547648 is 846745331.

It can be written as a sum of positive squares in 4 ways, for example, as 111344704 + 22202944 = 10552^2 + 4712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25928 + ... + 30648.

Almost surely, 2^133547648 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 133547648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151717860).

133547648 is an abundant number, since it is smaller than the sum of its proper divisors (169888072).

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

133547648 is a wasteful number, since it uses less digits than its factorization.

133547648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4753 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 133547648 is about 11556.2817549591. The cubic root of 133547648 is about 511.1465273225.

The spelling of 133547648 in words is "one hundred thirty-three million, five hundred forty-seven thousand, six hundred forty-eight".