144870263136 has 144 divisors (see below), whose sum is σ = 413625139200. Its totient is φ = 48097131264.

The previous prime is 144870263117. The next prime is 144870263143. The reversal of 144870263136 is 631362078441.

144870263136 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 7 + 0 + 2 + 631 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 144870263091 and 144870263100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113267745 + ... + 113269023.

It is an arithmetic number, because the mean of its divisors is an integer number (2872396800).

Almost surely, 2^144870263136 is an apocalyptic number.

144870263136 is a gapful number since it is divisible by the number (16) 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 144870263136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206812569600).

144870263136 is an abundant number, since it is smaller than the sum of its proper divisors (268754876064).

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

144870263136 is a wasteful number, since it uses less digits than its factorization.

144870263136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 144870263136 in words is "one hundred forty-four billion, eight hundred seventy million, two hundred sixty-three thousand, one hundred thirty-six".