134309054880 has 3456 divisors, whose sum is σ = 711493735680. Its totient is φ = 23410114560.

The previous prime is 134309054861. The next prime is 134309054911. The reversal of 134309054880 is 88450903431.

134309054880 is a `hidden beast` number, since 1 + 3 + 430 + 90 + 54 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4631346706 + ... + 4631346734.

It is an arithmetic number, because the mean of its divisors is an integer number (205872030).

Almost surely, 2^134309054880 is an apocalyptic number.

134309054880 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 134309054880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355746867840).

134309054880 is an abundant number, since it is smaller than the sum of its proper divisors (577184680800).

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

134309054880 is a wasteful number, since it uses less digits than its factorization.

134309054880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 134309054880 in words is "one hundred thirty-four billion, three hundred nine million, fifty-four thousand, eight hundred eighty".