134716538880 has 1440 divisors, whose sum is σ = 613209502080. Its totient is φ = 27745320960.

The previous prime is 134716538867. The next prime is 134716538951. The reversal of 134716538880 is 88835617431.

It is a happy number.

134716538880 is a `hidden beast` number, since 1 + 3 + 471 + 65 + 38 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 95 ways as a sum of consecutive naturals, for example, 1192181704 + ... + 1192181816.

It is an arithmetic number, because the mean of its divisors is an integer number (425839932).

Almost surely, 2^134716538880 is an apocalyptic number.

134716538880 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 134716538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306604751040).

134716538880 is an abundant number, since it is smaller than the sum of its proper divisors (478492963200).

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

134716538880 is a wasteful number, since it uses less digits than its factorization.

134716538880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 134716538880 in words is "one hundred thirty-four billion, seven hundred sixteen million, five hundred thirty-eight thousand, eight hundred eighty".