134886850560 has 1296 divisors, whose sum is σ = 609161611968. Its totient is φ = 28028436480.

The previous prime is 134886850547. The next prime is 134886850589. The reversal of 134886850560 is 65058688431.

134886850560 is a `hidden beast` number, since 1 + 3 + 488 + 68 + 50 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a junction number, because it is equal to n+sod(n) for n = 134886850497 and 134886850506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12262440955 + ... + 12262440965.

It is an arithmetic number, because the mean of its divisors is an integer number (470032108).

Almost surely, 2^134886850560 is an apocalyptic number.

134886850560 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 134886850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304580805984).

134886850560 is an abundant number, since it is smaller than the sum of its proper divisors (474274761408).

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

134886850560 is an frugal number, since it uses more digits than its factorization.

134886850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 134886850560 in words is "one hundred thirty-four billion, eight hundred eighty-six million, eight hundred fifty thousand, five hundred sixty".