133431120 has 120 divisors (see below), whose sum is σ = 457756416. Its totient is φ = 34815744.

The previous prime is 133431101. The next prime is 133431121. The reversal of 133431120 is 21134331.

133431120 is a `hidden beast` number, since 1 + 334 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133431093 and 133431102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133431121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31869 + ... + 35811.

Almost surely, 2^133431120 is an apocalyptic number.

133431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228878208).

133431120 is an abundant number, since it is smaller than the sum of its proper divisors (324325296).

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

133431120 is a wasteful number, since it uses less digits than its factorization.

133431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133431120 is about 11551.2388945948. The cubic root of 133431120 is about 510.9978158181.

Adding to 133431120 its reverse (21134331), we get a palindrome (154565451).

It can be divided in two parts, 1334311 and 20, that added together give a palindrome (1334331).

The spelling of 133431120 in words is "one hundred thirty-three million, four hundred thirty-one thousand, one hundred twenty".