144913627152 has 640 divisors, whose sum is σ = 513681408000. Its totient is φ = 38198200320.

The previous prime is 144913627147. The next prime is 144913627181. The reversal of 144913627152 is 251726319441.

144913627152 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 1 + 3 + 627 + 15 + 2 = 666.

It is a super-2 number, since 2×144913627152² (a number of 23 digits) contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 144913627098 and 144913627107.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 606333049 + ... + 606333287.

It is an arithmetic number, because the mean of its divisors is an integer number (802627200).

Almost surely, 2^144913627152 is an apocalyptic number.

144913627152 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 144913627152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256840704000).

144913627152 is an abundant number, since it is smaller than the sum of its proper divisors (368767780848).

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

144913627152 is a wasteful number, since it uses less digits than its factorization.

144913627152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 144913627152 in words is "one hundred forty-four billion, nine hundred thirteen million, six hundred twenty-seven thousand, one hundred fifty-two".