133283687946024 has 256 divisors, whose sum is σ = 421070192640000. Its totient is φ = 34149892458240.

The previous prime is 133283687945929. The next prime is 133283687946067. The reversal of 133283687946024 is 420649786382331.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160615327 + ... + 161443025.

It is an arithmetic number, because the mean of its divisors is an integer number (1644805440000).

Almost surely, 2^{133283687946024} is an apocalyptic number.

133283687946024 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 133283687946024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210535096320000).

133283687946024 is an abundant number, since it is smaller than the sum of its proper divisors (287786504693976).

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

133283687946024 is a wasteful number, since it uses less digits than its factorization.

133283687946024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828908 (or 828904 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 66.

The spelling of 133283687946024 in words is "one hundred thirty-three trillion, two hundred eighty-three billion, six hundred eighty-seven million, nine hundred forty-six thousand, twenty-four".