134500274809824 has 768 divisors, whose sum is σ = 471149039370240. Its totient is φ = 32541917184000.

The previous prime is 134500274809783. The next prime is 134500274809909. The reversal of 134500274809824 is 428908472005431.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3719466304 + ... + 3719502464.

It is an arithmetic number, because the mean of its divisors is an integer number (613475311680).

Almost surely, 2^{134500274809824} is an apocalyptic number.

134500274809824 is a gapful number since it is divisible by the number (14) 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 134500274809824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235574519685120).

134500274809824 is an abundant number, since it is smaller than the sum of its proper divisors (336648764560416).

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

134500274809824 is a wasteful number, since it uses less digits than its factorization.

134500274809824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36655 (or 36647 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 134500274809824 in words is "one hundred thirty-four trillion, five hundred billion, two hundred seventy-four million, eight hundred nine thousand, eight hundred twenty-four".