134448958080 has 960 divisors, whose sum is σ = 529462173240. Its totient is φ = 32381337600.

The previous prime is 134448958073. The next prime is 134448958099. The reversal of 134448958080 is 80859844431.

It is a happy number.

134448958080 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 489 + 5 + 80 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 22020185664 + 112428772416 = 148392^2 + 335304^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2204081250 + ... + 2204081310.

Almost surely, 2^134448958080 is an apocalyptic number.

134448958080 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 134448958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264731086620).

134448958080 is an abundant number, since it is smaller than the sum of its proper divisors (395013215160).

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

134448958080 is an equidigital number, since it uses as much as digits as its factorization.

134448958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 134448958080 in words is "one hundred thirty-four billion, four hundred forty-eight million, nine hundred fifty-eight thousand, eighty".