134433760032 has 288 divisors, whose sum is σ = 453266573760. Its totient is φ = 37257615360.

The previous prime is 134433759881. The next prime is 134433760051. The reversal of 134433760032 is 230067334431.

134433760032 is a `hidden beast` number, since 1 + 3 + 4 + 43 + 3 + 7 + 600 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4474083 + ... + 4504029.

It is an arithmetic number, because the mean of its divisors is an integer number (1573842270).

Almost surely, 2^134433760032 is an apocalyptic number.

134433760032 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 134433760032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226633286880).

134433760032 is an abundant number, since it is smaller than the sum of its proper divisors (318832813728).

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

134433760032 is a wasteful number, since it uses less digits than its factorization.

134433760032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30096 (or 30085 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 134433760032 in words is "one hundred thirty-four billion, four hundred thirty-three million, seven hundred sixty thousand, thirty-two".