133414434430304 has 48 divisors (see below), whose sum is σ = 274354926037920. Its totient is φ = 63781657927680.

The previous prime is 133414434430279. The next prime is 133414434430357. The reversal of 133414434430304 is 403034434414331.

It is a super-2 number, since 2×133414434430304² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697795457 + ... + 697986624.

It is an arithmetic number, because the mean of its divisors is an integer number (5715727625790).

Almost surely, 2^{133414434430304} is an apocalyptic number.

It is an amenable number.

133414434430304 is an abundant number, since it is smaller than the sum of its proper divisors (140940491607616).

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

133414434430304 is a wasteful number, since it uses less digits than its factorization.

133414434430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395782223 (or 1395782215 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 41.

Adding to 133414434430304 its reverse (403034434414331), we get a palindrome (536448868844635).

The spelling of 133414434430304 in words is "one hundred thirty-three trillion, four hundred fourteen billion, four hundred thirty-four million, four hundred thirty thousand, three hundred four".