133074645984 has 1152 divisors, whose sum is σ = 518352307200. Its totient is φ = 32732356608.

The previous prime is 133074645959. The next prime is 133074645989. The reversal of 133074645984 is 489546470331.

133074645984 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 7 + 46 + 4 + 598 + 4 = 666.

It is a super-2 number, since 2×133074645984² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133074645984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133074645989) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4588780882 + ... + 4588780910.

It is an arithmetic number, because the mean of its divisors is an integer number (449958600).

Almost surely, 2^133074645984 is an apocalyptic number.

133074645984 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 133074645984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259176153600).

133074645984 is an abundant number, since it is smaller than the sum of its proper divisors (385277661216).

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

133074645984 is an equidigital number, since it uses as much as digits as its factorization.

133074645984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 133074645984 in words is "one hundred thirty-three billion, seventy-four million, six hundred forty-five thousand, nine hundred eighty-four".