134721860532480 has 1440 divisors, whose sum is σ = 550357285816800. Its totient is φ = 31173057183744.

The previous prime is 134721860532443. The next prime is 134721860532481. The reversal of 134721860532480 is 84235068127431.

134721860532480 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 2 + 1 + 8 + 60 + 532 + 48 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 55341458585856 + 79380401946624 = 7439184^2 + 8909568^2 .

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 not an unprimeable number, because it can be changed into a prime (134721860532481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21286433956 + ... + 21286440284.

It is an arithmetic number, because the mean of its divisors is an integer number (382192559595).

Almost surely, 2^{134721860532480} is an apocalyptic number.

134721860532480 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 134721860532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275178642908400).

134721860532480 is an abundant number, since it is smaller than the sum of its proper divisors (415635425284320).

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

134721860532480 is a wasteful number, since it uses less digits than its factorization.

134721860532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 134721860532480 in words is "one hundred thirty-four trillion, seven hundred twenty-one billion, eight hundred sixty million, five hundred thirty-two thousand, four hundred eighty".