134682250518144 has 1024 divisors, whose sum is σ = 476728204492800. Its totient is φ = 36599298785280.

The previous prime is 134682250518113. The next prime is 134682250518163. The reversal of 134682250518144 is 441815052286431.

134682250518144 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 82 + 2 + 5 + 0 + 518 + 1 + 44 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90940073884 + ... + 90940075364.

It is an arithmetic number, because the mean of its divisors is an integer number (465554887200).

Almost surely, 2^{134682250518144} is an apocalyptic number.

134682250518144 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 134682250518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238364102246400).

134682250518144 is an abundant number, since it is smaller than the sum of its proper divisors (342045953974656).

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

134682250518144 is a wasteful number, since it uses less digits than its factorization.

134682250518144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 134682250518144 in words is "one hundred thirty-four trillion, six hundred eighty-two billion, two hundred fifty million, five hundred eighteen thousand, one hundred forty-four".