144963002013120 has 336 divisors, whose sum is σ = 524362277956608. Its totient is φ = 38112337105920.

The previous prime is 144963002013101. The next prime is 144963002013209. The reversal of 144963002013120 is 21310200369441.

144963002013120 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 630 + 0 + 2 + 0 + 1 + 3 + 12 + 0 = 666.

144963002013120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7607464 + ... + 18649383.

It is an arithmetic number, because the mean of its divisors is an integer number (1560602017728).

Almost surely, 2^{144963002013120} is an apocalyptic number.

144963002013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144963002013120 is an abundant number, since it is smaller than the sum of its proper divisors (379399275943488).

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

144963002013120 is an equidigital number, since it uses as much as digits as its factorization.

144963002013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26256950 (or 26256928 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 144963002013120 in words is "one hundred forty-four trillion, nine hundred sixty-three billion, two million, thirteen thousand, one hundred twenty".