134636514560 has 72 divisors (see below), whose sum is σ = 323454525576. Its totient is φ = 53694627840.

The previous prime is 134636514559. The next prime is 134636514613. The reversal of 134636514560 is 65415636431.

134636514560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28704491776 + 105932022784 = 169424^2 + 325472^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275300 + ... + 587420.

Almost surely, 2^134636514560 is an apocalyptic number.

134636514560 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 134636514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161727262788).

134636514560 is an abundant number, since it is smaller than the sum of its proper divisors (188818011016).

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

134636514560 is an equidigital number, since it uses as much as digits as its factorization.

134636514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312479 (or 312465 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 134636514560 in words is "one hundred thirty-four billion, six hundred thirty-six million, five hundred fourteen thousand, five hundred sixty".