13541234000 has 320 divisors, whose sum is σ = 39621464064. Its totient is φ = 4377600000.

The previous prime is 13541233997. The next prime is 13541234053. The reversal of 13541234000 is 43214531.

13541234000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17793620 + ... + 17794380.

Almost surely, 2^13541234000 is an apocalyptic number.

13541234000 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 13541234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19810732032).

13541234000 is an abundant number, since it is smaller than the sum of its proper divisors (26080230064).

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

13541234000 is a wasteful number, since it uses less digits than its factorization.

13541234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 13541234000 its reverse (43214531), we get a palindrome (13584448531).

The spelling of 13541234000 in words is "thirteen billion, five hundred forty-one million, two hundred thirty-four thousand".