102140144000 has 128 divisors (see below), whose sum is σ = 254691609120. Its totient is φ = 40736102400.

The previous prime is 102140143997. The next prime is 102140144027. The reversal of 102140144000 is 441041201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 102140144000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5542802 + ... + 5561198.

Almost surely, 2^102140144000 is an apocalyptic number.

102140144000 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 102140144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127345804560).

102140144000 is an abundant number, since it is smaller than the sum of its proper divisors (152551465120).

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

102140144000 is an equidigital number, since it uses as much as digits as its factorization.

102140144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18773 (or 18751 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102140144000 its reverse (441041201), we get a palindrome (102581185201).

The spelling of 102140144000 in words is "one hundred two billion, one hundred forty million, one hundred forty-four thousand".