133042770432 has 960 divisors, whose sum is σ = 483089080320. Its totient is φ = 35798630400.

The previous prime is 133042770407. The next prime is 133042770437. The reversal of 133042770432 is 234077240331.

133042770432 is a `hidden beast` number, since 133 + 0 + 4 + 27 + 70 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133042770437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796663213 + ... + 796663379.

It is an arithmetic number, because the mean of its divisors is an integer number (503217792).

Almost surely, 2^133042770432 is an apocalyptic number.

133042770432 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 133042770432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241544540160).

133042770432 is an abundant number, since it is smaller than the sum of its proper divisors (350046309888).

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

133042770432 is a wasteful number, since it uses less digits than its factorization.

133042770432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 133042770432 in words is "one hundred thirty-three billion, forty-two million, seven hundred seventy thousand, four hundred thirty-two".