144452145096 has 384 divisors, whose sum is σ = 481556275200. Its totient is φ = 39696791040.

The previous prime is 144452145067. The next prime is 144452145113. The reversal of 144452145096 is 690541254441.

144452145096 is a `hidden beast` number, since 144 + 4 + 52 + 1 + 450 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75509836 + ... + 75511748.

It is an arithmetic number, because the mean of its divisors is an integer number (1254052800).

Almost surely, 2^144452145096 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 144452145096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240778137600).

144452145096 is an abundant number, since it is smaller than the sum of its proper divisors (337104130104).

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

144452145096 is a wasteful number, since it uses less digits than its factorization.

144452145096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 144452145096 in words is "one hundred forty-four billion, four hundred fifty-two million, one hundred forty-five thousand, ninety-six".