144600514164 has 36 divisors (see below), whose sum is σ = 372414536676. Its totient is φ = 47290733568.

The previous prime is 144600514129. The next prime is 144600514187. The reversal of 144600514164 is 461415006441.

144600514164 is a `hidden beast` number, since 1 + 4 + 4 + 600 + 5 + 1 + 41 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126196878564 + 18403635600 = 355242^2 + 135660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 37891309 + ... + 37895124.

It is an arithmetic number, because the mean of its divisors is an integer number (10344848241).

Almost surely, 2^144600514164 is an apocalyptic number.

It is an amenable number.

144600514164 is an abundant number, since it is smaller than the sum of its proper divisors (227814022512).

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

144600514164 is a wasteful number, since it uses less digits than its factorization.

144600514164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75786496 (or 75786491 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 144600514164 in words is "one hundred forty-four billion, six hundred million, five hundred fourteen thousand, one hundred sixty-four".