13504145200 has 180 divisors, whose sum is σ = 40644534000. Its totient is φ = 4273758720.

The previous prime is 13504145173. The next prime is 13504145201. The reversal of 13504145200 is 254140531.

It is a happy number.

It is a super-3 number, since 3×13504145200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13504145201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228301 + ... + 281299.

Almost surely, 2^13504145200 is an apocalyptic number.

13504145200 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 13504145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20322267000).

13504145200 is an abundant number, since it is smaller than the sum of its proper divisors (27140388800).

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

13504145200 is a wasteful number, since it uses less digits than its factorization.

13504145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53044 (or 53026 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 13504145200 its reverse (254140531), we get a palindrome (13758285731).

The spelling of 13504145200 in words is "thirteen billion, five hundred four million, one hundred forty-five thousand, two hundred".