133842456 has 144 divisors (see below), whose sum is σ = 413922600. Its totient is φ = 40487040.

The previous prime is 133842439. The next prime is 133842461. The reversal of 133842456 is 654248331.

It is a super-2 number, since 2×133842456² = 35827606056223872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133842456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234940 + ... + 235508.

Almost surely, 2^133842456 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 133842456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206961300).

133842456 is an abundant number, since it is smaller than the sum of its proper divisors (280080144).

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

133842456 is a wasteful number, since it uses less digits than its factorization.

133842456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 585 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 133842456 is about 11569.0300371293. The cubic root of 133842456 is about 511.5223715501.

The spelling of 133842456 in words is "one hundred thirty-three million, eight hundred forty-two thousand, four hundred fifty-six".