133113456 has 240 divisors, whose sum is σ = 454248704. Its totient is φ = 36951552.

The previous prime is 133113433. The next prime is 133113467. The reversal of 133113456 is 654311331.

133113456 is a `hidden beast` number, since 1 + 3 + 311 + 345 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1823436 + ... + 1823508.

Almost surely, 2^133113456 is an apocalyptic number.

133113456 is a gapful number since it is divisible by the number (16) 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 133113456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227124352).

133113456 is an abundant number, since it is smaller than the sum of its proper divisors (321135248).

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

133113456 is an equidigital number, since it uses as much as digits as its factorization.

133113456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 133113456 is about 11537.4804875241. The cubic root of 133113456 is about 510.5919769632.

Adding to 133113456 its reverse (654311331), we get a palindrome (787424787).

The spelling of 133113456 in words is "one hundred thirty-three million, one hundred thirteen thousand, four hundred fifty-six".