134724337280 has 128 divisors (see below), whose sum is σ = 348597648000. Its totient is φ = 49493790720.

The previous prime is 134724337259. The next prime is 134724337283. The reversal of 134724337280 is 82733427431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (134724337283) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1614995 + ... + 1696365.

It is an arithmetic number, because the mean of its divisors is an integer number (2723419125).

Almost surely, 2^134724337280 is an apocalyptic number.

134724337280 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 134724337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174298824000).

134724337280 is an abundant number, since it is smaller than the sum of its proper divisors (213873310720).

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

134724337280 is a wasteful number, since it uses less digits than its factorization.

134724337280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81602 (or 81590 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 134724337280 in words is "one hundred thirty-four billion, seven hundred twenty-four million, three hundred thirty-seven thousand, two hundred eighty".