134914826880 has 256 divisors, whose sum is σ = 479472134400. Its totient is φ = 35853152256.

The previous prime is 134914826867. The next prime is 134914826903. The reversal of 134914826880 is 88628419431.

It is a happy number.

134914826880 is a `hidden beast` number, since 13 + 4 + 91 + 482 + 68 + 8 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5049717 + ... + 5076363.

It is an arithmetic number, because the mean of its divisors is an integer number (1872938025).

Almost surely, 2^134914826880 is an apocalyptic number.

134914826880 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 134914826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239736067200).

134914826880 is an abundant number, since it is smaller than the sum of its proper divisors (344557307520).

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

134914826880 is a wasteful number, since it uses less digits than its factorization.

134914826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26968 (or 26950 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 134914826880 in words is "one hundred thirty-four billion, nine hundred fourteen million, eight hundred twenty-six thousand, eight hundred eighty".