133062362025264 has 720 divisors, whose sum is σ = 491988474918720. Its totient is φ = 32729290997760.

The previous prime is 133062362025251. The next prime is 133062362025287. The reversal of 133062362025264 is 462520263260331.

It is a happy number.

133062362025264 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 6 + 2 + 362 + 0 + 25 + 264 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 179025924 + ... + 179767644.

It is an arithmetic number, because the mean of its divisors is an integer number (683317326276).

Almost surely, 2^{133062362025264} is an apocalyptic number.

133062362025264 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 133062362025264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245994237459360).

133062362025264 is an abundant number, since it is smaller than the sum of its proper divisors (358926112893456).

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

133062362025264 is a wasteful number, since it uses less digits than its factorization.

133062362025264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741826 (or 741798 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 133062362025264 in words is "one hundred thirty-three trillion, sixty-two billion, three hundred sixty-two million, twenty-five thousand, two hundred sixty-four".