13540232000 has 112 divisors (see below), whose sum is σ = 33798955008. Its totient is φ = 5373043200.

The previous prime is 13540231931. The next prime is 13540232011. The reversal of 13540232000 is 23204531.

It is a happy number.

It is a super-2 number, since 2×13540232000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009337 + ... + 1022663.

It is an arithmetic number, because the mean of its divisors is an integer number (301776384).

Almost surely, 2^13540232000 is an apocalyptic number.

13540232000 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 13540232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899477504).

13540232000 is an abundant number, since it is smaller than the sum of its proper divisors (20258723008).

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

13540232000 is a wasteful number, since it uses less digits than its factorization.

13540232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13481 (or 13461 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13540232000 its reverse (23204531), we get a palindrome (13563436531).

The spelling of 13540232000 in words is "thirteen billion, five hundred forty million, two hundred thirty-two thousand".