14125136400 has 300 divisors, whose sum is σ = 50974334532. Its totient is φ = 3745889280.

The previous prime is 14125136353. The next prime is 14125136413. The reversal of 14125136400 is 463152141.

It is a happy number.

14125136400 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 5 + 13 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3605762304 + 10519374096 = 60048^2 + 102564^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 6381694 + ... + 6383906.

Almost surely, 2^14125136400 is an apocalyptic number.

14125136400 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 14125136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25487167266).

14125136400 is an abundant number, since it is smaller than the sum of its proper divisors (36849198132).

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

14125136400 is a wasteful number, since it uses less digits than its factorization.

14125136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14125136400 its reverse (463152141), we get a palindrome (14588288541).

The spelling of 14125136400 in words is "fourteen billion, one hundred twenty-five million, one hundred thirty-six thousand, four hundred".