134788586220 has 336 divisors, whose sum is σ = 435761786880. Its totient is φ = 34989107328.

The previous prime is 134788586209. The next prime is 134788586237. The reversal of 134788586220 is 22685887431.

134788586220 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 8 + 8 + 5 + 8 + 622 + 0 = 666.

134788586220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 163776729 + ... + 163777551.

It is an arithmetic number, because the mean of its divisors is an integer number (1296910080).

Almost surely, 2^134788586220 is an apocalyptic number.

134788586220 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 134788586220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217880893440).

134788586220 is an abundant number, since it is smaller than the sum of its proper divisors (300973200660).

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

134788586220 is a wasteful number, since it uses less digits than its factorization.

134788586220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 134788586220 in words is "one hundred thirty-four billion, seven hundred eighty-eight million, five hundred eighty-six thousand, two hundred twenty".