108632142144 has 224 divisors, whose sum is σ = 331064006400. Its totient is φ = 34888734720.

The previous prime is 108632142133. The next prime is 108632142169. The reversal of 108632142144 is 441241236801.

108632142144 is a `hidden beast` number, since 1 + 0 + 8 + 632 + 1 + 4 + 2 + 14 + 4 = 666.

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 = 108632142099 and 108632142108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27108589 + ... + 27112595.

Almost surely, 2^108632142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108632142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165532003200).

108632142144 is an abundant number, since it is smaller than the sum of its proper divisors (222431864256).

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

108632142144 is a wasteful number, since it uses less digits than its factorization.

108632142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 108632142144 its reverse (441241236801), we get a palindrome (549873378945).

The spelling of 108632142144 in words is "one hundred eight billion, six hundred thirty-two million, one hundred forty-two thousand, one hundred forty-four".