108135627264 has 600 divisors, whose sum is σ = 379310722560. Its totient is φ = 30579462144.

The previous prime is 108135627263. The next prime is 108135627283. The reversal of 108135627264 is 462726531801.

108135627264 is a `hidden beast` number, since 1 + 0 + 8 + 13 + 5 + 627 + 2 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108135627263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 258080047 + ... + 258080465.

Almost surely, 2^108135627264 is an apocalyptic number.

108135627264 is a gapful number since it is divisible by the number (14) 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 108135627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189655361280).

108135627264 is an abundant number, since it is smaller than the sum of its proper divisors (271175095296).

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

108135627264 is an equidigital number, since it uses as much as digits as its factorization.

108135627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 108135627264 in words is "one hundred eight billion, one hundred thirty-five million, six hundred twenty-seven thousand, two hundred sixty-four".