14150136000 has 1792 divisors, whose sum is σ = 68165959680. Its totient is φ = 2488320000.

The previous prime is 14150135971. The next prime is 14150136037. The reversal of 14150136000 is 63105141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 456455985 + ... + 456456015.

It is an arithmetic number, because the mean of its divisors is an integer number (38039040).

Almost surely, 2^14150136000 is an apocalyptic number.

14150136000 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 14150136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34082979840).

14150136000 is an abundant number, since it is smaller than the sum of its proper divisors (54015823680).

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

14150136000 is a wasteful number, since it uses less digits than its factorization.

14150136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 14150136000 in words is "fourteen billion, one hundred fifty million, one hundred thirty-six thousand".