133388767512 has 1152 divisors, whose sum is σ = 526196736000. Its totient is φ = 29550044160.

The previous prime is 133388767507. The next prime is 133388767553. The reversal of 133388767512 is 215767883331.

It is a happy number.

133388767512 is a `hidden beast` number, since 1 + 33 + 38 + 8 + 7 + 67 + 512 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1050305193 + ... + 1050305319.

It is an arithmetic number, because the mean of its divisors is an integer number (456768000).

Almost surely, 2^133388767512 is an apocalyptic number.

133388767512 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 133388767512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263098368000).

133388767512 is an abundant number, since it is smaller than the sum of its proper divisors (392807968488).

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

133388767512 is a wasteful number, since it uses less digits than its factorization.

133388767512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 133388767512 in words is "one hundred thirty-three billion, three hundred eighty-eight million, seven hundred sixty-seven thousand, five hundred twelve".