133430976 has 140 divisors (see below), whose sum is σ = 452158608. Its totient is φ = 38112768.

The previous prime is 133430971. The next prime is 133430987. The reversal of 133430976 is 679034331.

133430976 is a `hidden beast` number, since 133 + 430 + 97 + 6 = 666.

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 133430976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133430971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34450 + ... + 38126.

Almost surely, 2^133430976 is an apocalyptic number.

133430976 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 133430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226079304).

133430976 is an abundant number, since it is smaller than the sum of its proper divisors (318727632).

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

133430976 is an equidigital number, since it uses as much as digits as its factorization.

133430976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 133430976 is about 11551.2326614955. The cubic root of 133430976 is about 510.9976319936.

The spelling of 133430976 in words is "one hundred thirty-three million, four hundred thirty thousand, nine hundred seventy-six".