133468074672 has 240 divisors, whose sum is σ = 374439284352. Its totient is φ = 40947793920.

The previous prime is 133468074661. The next prime is 133468074793. The reversal of 133468074672 is 276470864331.

133468074672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 151495672 + ... + 151496552.

Almost surely, 2^133468074672 is an apocalyptic number.

133468074672 is a gapful number since it is divisible by the number (12) 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 133468074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187219642176).

133468074672 is an abundant number, since it is smaller than the sum of its proper divisors (240971209680).

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

133468074672 is a wasteful number, since it uses less digits than its factorization.

133468074672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 133468074672 in words is "one hundred thirty-three billion, four hundred sixty-eight million, seventy-four thousand, six hundred seventy-two".