144158607360 has 384 divisors, whose sum is σ = 542599948800. Its totient is φ = 36179804160.

The previous prime is 144158607347. The next prime is 144158607361. The reversal of 144158607360 is 63706851441.

144158607360 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 5 + 8 + 607 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (144158607361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4684825 + ... + 4715495.

It is an arithmetic number, because the mean of its divisors is an integer number (1413020700).

Almost surely, 2^144158607360 is an apocalyptic number.

144158607360 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 144158607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271299974400).

144158607360 is an abundant number, since it is smaller than the sum of its proper divisors (398441341440).

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

144158607360 is a wasteful number, since it uses less digits than its factorization.

144158607360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30724 (or 30698 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 144158607360 in words is "one hundred forty-four billion, one hundred fifty-eight million, six hundred seven thousand, three hundred sixty".