133464933144 has 288 divisors, whose sum is σ = 390368160000. Its totient is φ = 42717533760.

The previous prime is 133464933131. The next prime is 133464933181. The reversal of 133464933144 is 441339464331.

It is a happy number.

133464933144 is a `hidden beast` number, since 1 + 33 + 464 + 93 + 31 + 44 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133464933144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371768437 + ... + 371768795.

It is an arithmetic number, because the mean of its divisors is an integer number (1355445000).

Almost surely, 2^133464933144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133464933144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195184080000).

133464933144 is an abundant number, since it is smaller than the sum of its proper divisors (256903226856).

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

133464933144 is a wasteful number, since it uses less digits than its factorization.

133464933144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 594 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 133464933144 in words is "one hundred thirty-three billion, four hundred sixty-four million, nine hundred thirty-three thousand, one hundred forty-four".