134734648320 has 440 divisors, whose sum is σ = 508253724000. Its totient is φ = 34036236288.

The previous prime is 134734648303. The next prime is 134734648327. The reversal of 134734648320 is 23846437431.

134734648320 is a `hidden beast` number, since 134 + 7 + 34 + 6 + 483 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134734648327) 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 39 ways as a sum of consecutive naturals, for example, 7871131 + ... + 7888229.

It is an arithmetic number, because the mean of its divisors is an integer number (1155122100).

Almost surely, 2^134734648320 is an apocalyptic number.

134734648320 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 134734648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254126862000).

134734648320 is an abundant number, since it is smaller than the sum of its proper divisors (373519075680).

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

134734648320 is a wasteful number, since it uses less digits than its factorization.

134734648320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17155 (or 17128 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 134734648320 in words is "one hundred thirty-four billion, seven hundred thirty-four million, six hundred forty-eight thousand, three hundred twenty".