14534131200 has 120 divisors (see below), whose sum is σ = 48012720888. Its totient is φ = 3875758080.

The previous prime is 14534131163. The next prime is 14534131201. The reversal of 14534131200 is 213143541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14534131200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14534131201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150847 + ... + 227646.

Almost surely, 2^14534131200 is an apocalyptic number.

14534131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14534131200 is an abundant number, since it is smaller than the sum of its proper divisors (33478589688).

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

14534131200 is an equidigital number, since it uses as much as digits as its factorization.

14534131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378524 (or 378503 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 14534131200 its reverse (213143541), we get a palindrome (14747274741).

The spelling of 14534131200 in words is "fourteen billion, five hundred thirty-four million, one hundred thirty-one thousand, two hundred".