134728789140288 has 560 divisors, whose sum is σ = 465918834480000. Its totient is φ = 38479766169600.

The previous prime is 134728789140287. The next prime is 134728789140289. The reversal of 134728789140288 is 882041987827431.

134728789140288 is a `hidden beast` number, since 1 + 3 + 4 + 72 + 8 + 78 + 9 + 1 + 402 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (134728789140287) and next prime (134728789140289).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134728789140287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5421451063 + ... + 5421475913.

Almost surely, 2^{134728789140288} is an apocalyptic number.

134728789140288 is a gapful number since it is divisible by the number (18) 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 134728789140288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232959417240000).

134728789140288 is an abundant number, since it is smaller than the sum of its proper divisors (331190045339712).

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

134728789140288 is an equidigital number, since it uses as much as digits as its factorization.

134728789140288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27945 (or 27912 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 134728789140288 in words is "one hundred thirty-four trillion, seven hundred twenty-eight billion, seven hundred eighty-nine million, one hundred forty thousand, two hundred eighty-eight".