108532146240 has 420 divisors, whose sum is σ = 449104693356. Its totient is φ = 24807057408.

The previous prime is 108532146169. The next prime is 108532146263. The reversal of 108532146240 is 42641235801.

It is a happy number.

108532146240 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 3 + 21 + 4 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60244720704 + 48287425536 = 245448^2 + 219744^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×108532146240² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 108532146195 and 108532146204.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1227354 + ... + 1312806.

Almost surely, 2^108532146240 is an apocalyptic number.

108532146240 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 108532146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224552346678).

108532146240 is an abundant number, since it is smaller than the sum of its proper divisors (340572547116).

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

108532146240 is an equidigital number, since it uses as much as digits as its factorization.

108532146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85496 (or 85470 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 108532146240 in words is "one hundred eight billion, five hundred thirty-two million, one hundred forty-six thousand, two hundred forty".