133262984064 has 384 divisors, whose sum is σ = 428431334400. Its totient is φ = 36562046976.

The previous prime is 133262984021. The next prime is 133262984083. The reversal of 133262984064 is 460489262331.

133262984064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54997957 + ... + 55000379.

It is an arithmetic number, because the mean of its divisors is an integer number (1115706600).

Almost surely, 2^133262984064 is an apocalyptic number.

133262984064 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 133262984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214215667200).

133262984064 is an abundant number, since it is smaller than the sum of its proper divisors (295168350336).

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

133262984064 is a wasteful number, since it uses less digits than its factorization.

133262984064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 133262984064 in words is "one hundred thirty-three billion, two hundred sixty-two million, nine hundred eighty-four thousand, sixty-four".