13645739520 has 1200 divisors, whose sum is σ = 60960651840. Its totient is φ = 2898395136.

The previous prime is 13645739473. The next prime is 13645739521. The reversal of 13645739520 is 2593754631.

13645739520 is a `hidden beast` number, since 13 + 6 + 45 + 73 + 9 + 520 = 666.

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 (13645739521) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172730841 + ... + 172730919.

Almost surely, 2^13645739520 is an apocalyptic number.

13645739520 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 13645739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30480325920).

13645739520 is an abundant number, since it is smaller than the sum of its proper divisors (47314912320).

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

13645739520 is an equidigital number, since it uses as much as digits as its factorization.

13645739520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 13645739520 in words is "thirteen billion, six hundred forty-five million, seven hundred thirty-nine thousand, five hundred twenty".