13535144010 has 128 divisors (see below), whose sum is σ = 36535276800. Its totient is φ = 3565486080.

The previous prime is 13535143933. The next prime is 13535144033. The reversal of 13535144010 is 1044153531.

It is a happy number.

13535144010 is a `hidden beast` number, since 135 + 3 + 514 + 4 + 0 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9089346 + ... + 9090834.

It is an arithmetic number, because the mean of its divisors is an integer number (285431850).

Almost surely, 2^13535144010 is an apocalyptic number.

13535144010 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 13535144010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18267638400).

13535144010 is an abundant number, since it is smaller than the sum of its proper divisors (23000132790).

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

13535144010 is a wasteful number, since it uses less digits than its factorization.

13535144010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13535144010 its reverse (1044153531), we get a palindrome (14579297541).

The spelling of 13535144010 in words is "thirteen billion, five hundred thirty-five million, one hundred forty-four thousand, ten".