134952035328 has 528 divisors, whose sum is σ = 437944678080. Its totient is φ = 39680409600.

The previous prime is 134952035321. The next prime is 134952035363. The reversal of 134952035328 is 823530259431.

134952035328 is a `hidden beast` number, since 1 + 3 + 4 + 95 + 20 + 3 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (134952035321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859567026 + ... + 859567182.

Almost surely, 2^134952035328 is an apocalyptic number.

134952035328 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 134952035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218972339040).

134952035328 is an abundant number, since it is smaller than the sum of its proper divisors (302992642752).

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

134952035328 is a wasteful number, since it uses less digits than its factorization.

134952035328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 13495203 and 5328, that added together give a palindrome (13500531).

The spelling of 134952035328 in words is "one hundred thirty-four billion, nine hundred fifty-two million, thirty-five thousand, three hundred twenty-eight".