16135314148800 has 4032 divisors, whose sum is σ = 79774987788288. Its totient is φ = 2990407680000.

The previous prime is 16135314148757. The next prime is 16135314148823. The reversal of 16135314148800 is 884141353161.

16135314148800 is a `hidden beast` number, since 1 + 6 + 135 + 31 + 4 + 1 + 488 + 0 + 0 = 666.

16135314148800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 30969892540 + ... + 30969893060.

Almost surely, 2^{16135314148800} is an apocalyptic number.

16135314148800 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 16135314148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39887493894144).

16135314148800 is an abundant number, since it is smaller than the sum of its proper divisors (63639673639488).

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

16135314148800 is a wasteful number, since it uses less digits than its factorization.

16135314148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 16135314148800 in words is "sixteen trillion, one hundred thirty-five billion, three hundred fourteen million, one hundred forty-eight thousand, eight hundred".