133429674816 has 448 divisors, whose sum is σ = 422291865600. Its totient is φ = 41704865280.

The previous prime is 133429674787. The next prime is 133429674857. The reversal of 133429674816 is 618476924331.

133429674816 is a `hidden beast` number, since 1 + 33 + 42 + 96 + 7 + 481 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348380161 + ... + 348380543.

Almost surely, 2^133429674816 is an apocalyptic number.

133429674816 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 133429674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211145932800).

133429674816 is an abundant number, since it is smaller than the sum of its proper divisors (288862190784).

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

133429674816 is an equidigital number, since it uses as much as digits as its factorization.

133429674816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 538 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 133429674816 in words is "one hundred thirty-three billion, four hundred twenty-nine million, six hundred seventy-four thousand, eight hundred sixteen".