133535440 has 20 divisors (see below), whose sum is σ = 310470084. Its totient is φ = 53414144.

The previous prime is 133535429. The next prime is 133535443. The reversal of 133535440 is 44535331.

It can be written as a sum of positive squares in 2 ways, for example, as 93238336 + 40297104 = 9656^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 133535399 and 133535408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133535443) 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, 834517 + ... + 834676.

Almost surely, 2^133535440 is an apocalyptic number.

133535440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133535440 is an abundant number, since it is smaller than the sum of its proper divisors (176934644).

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

133535440 is a wasteful number, since it uses less digits than its factorization.

133535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669206 (or 1669200 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 133535440 is about 11555.7535453124. The cubic root of 133535440 is about 511.1309516908.

The spelling of 133535440 in words is "one hundred thirty-three million, five hundred thirty-five thousand, four hundred forty".