102144132144 has 120 divisors (see below), whose sum is σ = 287720392752. Its totient is φ = 33827143680.

The previous prime is 102144132131. The next prime is 102144132157. The reversal of 102144132144 is 441231441201.

102144132144 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 441 + 3 + 214 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (102144132131) and next prime (102144132157).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26317084 + ... + 26320964.

Almost surely, 2^102144132144 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 102144132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143860196376).

102144132144 is an abundant number, since it is smaller than the sum of its proper divisors (185576260608).

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

102144132144 is a wasteful number, since it uses less digits than its factorization.

102144132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102144132144 its reverse (441231441201), we get a palindrome (543375573345).

The spelling of 102144132144 in words is "one hundred two billion, one hundred forty-four million, one hundred thirty-two thousand, one hundred forty-four".