14136145920000 has 3600 divisors, whose sum is σ = 62597699324160. Its totient is φ = 3153199104000.

The previous prime is 14136145919993. The next prime is 14136145920041. The reversal of 14136145920000 is 2954163141.

It is a happy number.

14136145920000 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 61 + 4 + 592 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 614615039989 + ... + 614615040011.

Almost surely, 2^{14136145920000} is an apocalyptic number.

14136145920000 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 14136145920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31298849662080).

14136145920000 is an abundant number, since it is smaller than the sum of its proper divisors (48461553404160).

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

14136145920000 is an frugal number, since it uses more digits than its factorization.

14136145920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14136145920000 in words is "fourteen trillion, one hundred thirty-six billion, one hundred forty-five million, nine hundred twenty thousand".