14137146900 has 108 divisors (see below), whose sum is σ = 44415663292. Its totient is φ = 3761095680.

The previous prime is 14137146889. The next prime is 14137146911. The reversal of 14137146900 is 964173141.

14137146900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14137146889) and next prime (14137146911).

It can be written as a sum of positive squares in 6 ways, for example, as 494439696 + 13642707204 = 22236^2 + 116802^2 .

It is a super-2 number, since 2×14137146900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 371562 + ... + 407838.

Almost surely, 2^14137146900 is an apocalyptic number.

14137146900 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 14137146900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22207831646).

14137146900 is an abundant number, since it is smaller than the sum of its proper divisors (30278516392).

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

14137146900 is a wasteful number, since it uses less digits than its factorization.

14137146900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36730 (or 36720 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 14137146900 in words is "fourteen billion, one hundred thirty-seven million, one hundred forty-six thousand, nine hundred".