134248907520 has 2304 divisors, whose sum is σ = 648763637760. Its totient is φ = 25798901760.

The previous prime is 134248907501. The next prime is 134248907579. The reversal of 134248907520 is 25709842431.

134248907520 is a `hidden beast` number, since 1 + 3 + 42 + 4 + 89 + 0 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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 255 ways as a sum of consecutive naturals, for example, 4330609905 + ... + 4330609935.

It is an arithmetic number, because the mean of its divisors is an integer number (281581440).

Almost surely, 2^134248907520 is an apocalyptic number.

134248907520 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 134248907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324381818880).

134248907520 is an abundant number, since it is smaller than the sum of its proper divisors (514514730240).

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

134248907520 is an equidigital number, since it uses as much as digits as its factorization.

134248907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 134248907520 in words is "one hundred thirty-four billion, two hundred forty-eight million, nine hundred seven thousand, five hundred twenty".