133435431 has 64 divisors (see below), whose sum is σ = 219864960. Its totient is φ = 80621568.

The previous prime is 133435429. The next prime is 133435433. The reversal of 133435431 is 134534331.

It is an interprime number because it is at equal distance from previous prime (133435429) and next prime (133435433).

It is not a de Polignac number, because 133435431 - 2¹ = 133435429 is a prime.

It is a super-2 number, since 2×133435431² = 35610028492311522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133435395 and 133435404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133435433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1375575 + ... + 1375671.

It is an arithmetic number, because the mean of its divisors is an integer number (3435390).

Almost surely, 2^133435431 is an apocalyptic number.

133435431 is a deficient number, since it is larger than the sum of its proper divisors (86429529).

133435431 is an frugal number, since it uses more digits than its factorization.

133435431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 133435431 is about 11551.4254964485. The cubic root of 133435431 is about 511.0033190017.

Adding to 133435431 its reverse (134534331), we get a palindrome (267969762).

The spelling of 133435431 in words is "one hundred thirty-three million, four hundred thirty-five thousand, four hundred thirty-one".