109134915840 has 1008 divisors, whose sum is σ = 420232705200. Its totient is φ = 27088846848.

The previous prime is 109134915809. The next prime is 109134915853. The reversal of 109134915840 is 48519431901.

109134915840 is a `hidden beast` number, since 10 + 9 + 13 + 49 + 1 + 584 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7766544384 + 101368371456 = 88128^2 + 318384^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1001237706 + ... + 1001237814.

It is an arithmetic number, because the mean of its divisors is an integer number (416897525).

Almost surely, 2^109134915840 is an apocalyptic number.

109134915840 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 109134915840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210116352600).

109134915840 is an abundant number, since it is smaller than the sum of its proper divisors (311097789360).

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

109134915840 is an equidigital number, since it uses as much as digits as its factorization.

109134915840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 109134915840 in words is "one hundred nine billion, one hundred thirty-four million, nine hundred fifteen thousand, eight hundred forty".