14137092000 has 240 divisors, whose sum is σ = 51889029192. Its totient is φ = 3769804800.

The previous prime is 14137091989. The next prime is 14137092001. The reversal of 14137092000 is 29073141.

It can be written as a sum of positive squares in 4 ways, for example, as 7709542416 + 6427549584 = 87804^2 + 80172^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14137092001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 302184 + ... + 345816.

Almost surely, 2^14137092000 is an apocalyptic number.

14137092000 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 14137092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944514596).

14137092000 is an abundant number, since it is smaller than the sum of its proper divisors (37751937192).

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

14137092000 is an equidigital number, since it uses as much as digits as its factorization.

14137092000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43670 (or 43643 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 14137092000 in words is "fourteen billion, one hundred thirty-seven million, ninety-two thousand".