134640430848 has 1152 divisors, whose sum is σ = 549301616640. Its totient is φ = 31434670080.

The previous prime is 134640430801. The next prime is 134640430879. The reversal of 134640430848 is 848034046431.

134640430848 is a `hidden beast` number, since 134 + 6 + 4 + 0 + 430 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 208099261 + ... + 208099907.

It is an arithmetic number, because the mean of its divisors is an integer number (476824320).

Almost surely, 2^134640430848 is an apocalyptic number.

134640430848 is a gapful number since it is divisible by the number (18) 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 134640430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274650808320).

134640430848 is an abundant number, since it is smaller than the sum of its proper divisors (414661185792).

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

134640430848 is a wasteful number, since it uses less digits than its factorization.

134640430848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 134640430848 in words is "one hundred thirty-four billion, six hundred forty million, four hundred thirty thousand, eight hundred forty-eight".