134963436960 has 576 divisors, whose sum is σ = 532959388416. Its totient is φ = 30777753600.

The previous prime is 134963436827. The next prime is 134963436961. The reversal of 134963436960 is 69634369431.

134963436960 is a `hidden beast` number, since 1 + 3 + 496 + 34 + 3 + 69 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 134963436897 and 134963436906.

It is not an unprimeable number, because it can be changed into a prime (134963436961) 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, 22220484 + ... + 22226556.

It is an arithmetic number, because the mean of its divisors is an integer number (925276716).

Almost surely, 2^134963436960 is an apocalyptic number.

134963436960 is a gapful number since it is divisible by the number (10) 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 134963436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266479694208).

134963436960 is an abundant number, since it is smaller than the sum of its proper divisors (397995951456).

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

134963436960 is a wasteful number, since it uses less digits than its factorization.

134963436960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6189 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 134963436960 in words is "one hundred thirty-four billion, nine hundred sixty-three million, four hundred thirty-six thousand, nine hundred sixty".