108195134749920 has 240 divisors, whose sum is σ = 385619248542528. Its totient is φ = 28566371865600.

The previous prime is 108195134749847. The next prime is 108195134749927. The reversal of 108195134749920 is 29947431591801.

108195134749920 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 9 + 5 + 134 + 7 + 499 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108195134749927) 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, 40019704 + ... + 42637623.

Almost surely, 2^{108195134749920} is an apocalyptic number.

108195134749920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

108195134749920 is an abundant number, since it is smaller than the sum of its proper divisors (277424113792608).

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

108195134749920 is a wasteful number, since it uses less digits than its factorization.

108195134749920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82657455 (or 82657438 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 108195134749920 in words is "one hundred eight trillion, one hundred ninety-five billion, one hundred thirty-four million, seven hundred forty-nine thousand, nine hundred twenty".