14125700160 has 1120 divisors, whose sum is σ = 61216227072. Its totient is φ = 3045703680.

The previous prime is 14125700159. The next prime is 14125700221. The reversal of 14125700160 is 6100752141.

It is a happy number.

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 159 ways as a sum of consecutive naturals, for example, 137142669 + ... + 137142771.

Almost surely, 2^14125700160 is an apocalyptic number.

14125700160 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 14125700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30608113536).

14125700160 is an abundant number, since it is smaller than the sum of its proper divisors (47090526912).

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

14125700160 is a wasteful number, since it uses less digits than its factorization.

14125700160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 14125700160 in words is "fourteen billion, one hundred twenty-five million, seven hundred thousand, one hundred sixty".