133982430 has 64 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 34697984.

The previous prime is 133982417. The next prime is 133982441. The reversal of 133982430 is 34289331.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133982391 and 133982400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235186 + ... + 235754.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^133982430 is an apocalyptic number.

133982430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133982430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

133982430 is an abundant number, since it is smaller than the sum of its proper divisors (196964130).

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

133982430 is a wasteful number, since it uses less digits than its factorization.

133982430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 133982430 is about 11575.0779694998. The cubic root of 133982430 is about 511.7006281091.

The spelling of 133982430 in words is "one hundred thirty-three million, nine hundred eighty-two thousand, four hundred thirty".