133420762944 has 336 divisors, whose sum is σ = 444876082560. Its totient is φ = 37444239360.

The previous prime is 133420762919. The next prime is 133420763027. The reversal of 133420762944 is 449267024331.

133420762944 is a `hidden beast` number, since 1 + 334 + 20 + 7 + 6 + 294 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 133420762944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58491084 + ... + 58493364.

It is an arithmetic number, because the mean of its divisors is an integer number (1324035960).

Almost surely, 2^133420762944 is an apocalyptic number.

133420762944 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 133420762944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222438041280).

133420762944 is an abundant number, since it is smaller than the sum of its proper divisors (311455319616).

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

133420762944 is a wasteful number, since it uses less digits than its factorization.

133420762944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 133420762944 in words is "one hundred thirty-three billion, four hundred twenty million, seven hundred sixty-two thousand, nine hundred forty-four".