13482097920 has 144 divisors (see below), whose sum is σ = 47842845120. Its totient is φ = 3595216896.

The previous prime is 13482097903. The next prime is 13482097921. The reversal of 13482097920 is 2979028431.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13482097921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160494 + ... + 229613.

It is an arithmetic number, because the mean of its divisors is an integer number (332241980).

Almost surely, 2^13482097920 is an apocalyptic number.

13482097920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13482097920 is an abundant number, since it is smaller than the sum of its proper divisors (34360747200).

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

13482097920 is an equidigital number, since it uses as much as digits as its factorization.

13482097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390137 (or 390117 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13482097920 in words is "thirteen billion, four hundred eighty-two million, ninety-seven thousand, nine hundred twenty".