133412420689632 has 864 divisors, whose sum is σ = 457312647407616. Its totient is φ = 36135880704000.

The previous prime is 133412420689621. The next prime is 133412420689663. The reversal of 133412420689632 is 236986024214331.

133412420689632 is a `hidden beast` number, since 1 + 3 + 3 + 41 + 2 + 420 + 68 + 96 + 32 = 666.

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 143 ways as a sum of consecutive naturals, for example, 108377270457 + ... + 108377271687.

Almost surely, 2^{133412420689632} is an apocalyptic number.

133412420689632 is a gapful number since it is divisible by the number (12) 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 133412420689632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228656323703808).

133412420689632 is an abundant number, since it is smaller than the sum of its proper divisors (323900226717984).

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

133412420689632 is a wasteful number, since it uses less digits than its factorization.

133412420689632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 133412420689632 in words is "one hundred thirty-three trillion, four hundred twelve billion, four hundred twenty million, six hundred eighty-nine thousand, six hundred thirty-two".