134761278720 has 288 divisors, whose sum is σ = 453748377600. Its totient is φ = 33992220672.

The previous prime is 134761278689. The next prime is 134761278733. The reversal of 134761278720 is 27872167431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134761278720.

It is a congruent number.

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, 71718741 + ... + 71720619.

It is an arithmetic number, because the mean of its divisors is an integer number (1575515200).

Almost surely, 2^134761278720 is an apocalyptic number.

134761278720 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 134761278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226874188800).

134761278720 is an abundant number, since it is smaller than the sum of its proper divisors (318987098880).

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

134761278720 is a wasteful number, since it uses less digits than its factorization.

134761278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 134761278720 in words is "one hundred thirty-four billion, seven hundred sixty-one million, two hundred seventy-eight thousand, seven hundred twenty".