13643004150 has 288 divisors, whose sum is σ = 40443661440. Its totient is φ = 3409620480.

The previous prime is 13643004143. The next prime is 13643004173. The reversal of 13643004150 is 5140034631.

13643004150 is a `hidden beast` number, since 1 + 3 + 643 + 0 + 0 + 4 + 15 + 0 = 666.

It is a super-2 number, since 2×13643004150² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26085789 + ... + 26086311.

It is an arithmetic number, because the mean of its divisors is an integer number (140429380).

Almost surely, 2^13643004150 is an apocalyptic number.

13643004150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13643004150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20221830720).

13643004150 is an abundant number, since it is smaller than the sum of its proper divisors (26800657290).

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

13643004150 is a wasteful number, since it uses less digits than its factorization.

13643004150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13643004150 its reverse (5140034631), we get a palindrome (18783038781).

The spelling of 13643004150 in words is "thirteen billion, six hundred forty-three million, four thousand, one hundred fifty".