134960195328 has 432 divisors, whose sum is σ = 429450352128. Its totient is φ = 36854784000.

The previous prime is 134960195311. The next prime is 134960195341. The reversal of 134960195328 is 823591069431.

134960195328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×134960195328³ (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 47 ways as a sum of consecutive naturals, for example, 780116650 + ... + 780116822.

Almost surely, 2^134960195328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134960195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214725176064).

134960195328 is an abundant number, since it is smaller than the sum of its proper divisors (294490156800).

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

134960195328 is a wasteful number, since it uses less digits than its factorization.

134960195328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 134960195328 in words is "one hundred thirty-four billion, nine hundred sixty million, one hundred ninety-five thousand, three hundred twenty-eight".