144589136137992 has 1344 divisors, whose sum is σ = 526412628449280. Its totient is φ = 36399307696128.

The previous prime is 144589136137987. The next prime is 144589136137993. The reversal of 144589136137992 is 299731631985441.

144589136137992 is a `hidden beast` number, since 1 + 4 + 4 + 58 + 91 + 36 + 1 + 379 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 144589136137992.

It is not an unprimeable number, because it can be changed into a prime (144589136137993) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 13529435673 + ... + 13529446359.

Almost surely, 2^{144589136137992} is an apocalyptic number.

144589136137992 is a gapful number since it is divisible by the number (12) 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 144589136137992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263206314224640).

144589136137992 is an abundant number, since it is smaller than the sum of its proper divisors (381823492311288).

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

144589136137992 is a wasteful number, since it uses less digits than its factorization.

144589136137992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10834 (or 10802 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 144589136137992 in words is "one hundred forty-four trillion, five hundred eighty-nine billion, one hundred thirty-six million, one hundred thirty-seven thousand, nine hundred ninety-two".