133430835384 has 448 divisors, whose sum is σ = 475424570880. Its totient is φ = 34082208000.

The previous prime is 133430835367. The next prime is 133430835401. The reversal of 133430835384 is 483538034331.

133430835384 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 30 + 83 + 538 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (133430835367) and next prime (133430835401).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27390469 + ... + 27395339.

It is an arithmetic number, because the mean of its divisors is an integer number (1061215560).

Almost surely, 2^133430835384 is an apocalyptic number.

133430835384 is a gapful number since it is divisible by the number (14) 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 133430835384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237712285440).

133430835384 is an abundant number, since it is smaller than the sum of its proper divisors (341993735496).

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

133430835384 is a wasteful number, since it uses less digits than its factorization.

133430835384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4974 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 133430835384 in words is "one hundred thirty-three billion, four hundred thirty million, eight hundred thirty-five thousand, three hundred eighty-four".