13687345152 has 234 divisors, whose sum is σ = 42831083022. Its totient is φ = 4211490816.

The previous prime is 13687345129. The next prime is 13687345183. The reversal of 13687345152 is 25154378631.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13687345152 is a `hidden beast` number, since 1 + 3 + 68 + 73 + 4 + 515 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13138661376 + 548683776 = 114624^2 + 23424^2 .

It is a tau number, because it is divible by the number of its divisors (234).

Its product of digits (604800) is a multiple of the sum of its prime divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 13687345098 and 13687345107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1052872698 + ... + 1052872710.

Almost surely, 2^13687345152 is an apocalyptic number.

13687345152 is a gapful number since it is divisible by the number (12) 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 13687345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415541511).

13687345152 is an abundant number, since it is smaller than the sum of its proper divisors (29143737870).

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

13687345152 is an frugal number, since it uses more digits than its factorization.

13687345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 18 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 13687345152 in words is "thirteen billion, six hundred eighty-seven million, three hundred forty-five thousand, one hundred fifty-two".