133756284312 has 168 divisors, whose sum is σ = 437409090900. Its totient is φ = 38215999584.

The previous prime is 133756284287. The next prime is 133756284323. The reversal of 133756284312 is 213482657331.

133756284312 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 5 + 628 + 4 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 51739 + ... + 519797.

Almost surely, 2^133756284312 is an apocalyptic number.

133756284312 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 133756284312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218704545450).

133756284312 is an abundant number, since it is smaller than the sum of its proper divisors (303652806588).

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

133756284312 is an equidigital number, since it uses as much as digits as its factorization.

133756284312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468097 (or 468071 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 133756284312 in words is "one hundred thirty-three billion, seven hundred fifty-six million, two hundred eighty-four thousand, three hundred twelve".