134235883008 has 240 divisors, whose sum is σ = 401826625200. Its totient is φ = 43088855040.

The previous prime is 134235882983. The next prime is 134235883079. The reversal of 134235883008 is 800388532431.

134235883008 is a `hidden beast` number, since 1 + 34 + 2 + 3 + 588 + 30 + 0 + 8 = 666.

It is a super-3 number, since 3×134235883008³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61603263 + ... + 61605441.

It is an arithmetic number, because the mean of its divisors is an integer number (1674277605).

Almost surely, 2^134235883008 is an apocalyptic number.

134235883008 is a gapful number since it is divisible by the number (18) 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 134235883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200913312600).

134235883008 is an abundant number, since it is smaller than the sum of its proper divisors (267590742192).

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

134235883008 is a wasteful number, since it uses less digits than its factorization.

134235883008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 134235883008 in words is "one hundred thirty-four billion, two hundred thirty-five million, eight hundred eighty-three thousand, eight".