134615384640 has 504 divisors, whose sum is σ = 519832010880. Its totient is φ = 31935805440.

The previous prime is 134615384639. The next prime is 134615384677. The reversal of 134615384640 is 46483516431.

134615384640 is a `hidden beast` number, since 1 + 3 + 461 + 53 + 84 + 64 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 16374451 + ... + 16382669.

It is an arithmetic number, because the mean of its divisors is an integer number (1031412720).

Almost surely, 2^134615384640 is an apocalyptic number.

134615384640 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 134615384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259916005440).

134615384640 is an abundant number, since it is smaller than the sum of its proper divisors (385216626240).

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

134615384640 is a wasteful number, since it uses less digits than its factorization.

134615384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 134615384640 in words is "one hundred thirty-four billion, six hundred fifteen million, three hundred eighty-four thousand, six hundred forty".