13507845120 has 1232 divisors, whose sum is σ = 61858833408. Its totient is φ = 2747105280.

The previous prime is 13507845107. The next prime is 13507845133. The reversal of 13507845120 is 2154870531.

13507845120 is a `hidden beast` number, since 1 + 3 + 507 + 84 + 51 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13507845107) and next prime (13507845133).

It is a tau number, because it is divible by the number of its divisors (1232).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 287400937 + ... + 287400983.

Almost surely, 2^13507845120 is an apocalyptic number.

13507845120 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 13507845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30929416704).

13507845120 is an abundant number, since it is smaller than the sum of its proper divisors (48350988288).

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

13507845120 is an equidigital number, since it uses as much as digits as its factorization.

13507845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 13507845120 in words is "thirteen billion, five hundred seven million, eight hundred forty-five thousand, one hundred twenty".