144809068140 has 384 divisors, whose sum is σ = 500443453440. Its totient is φ = 34468761600.

The previous prime is 144809068093. The next prime is 144809068181. The reversal of 144809068140 is 41860908441.

144809068140 is a `hidden beast` number, since 1 + 4 + 480 + 90 + 6 + 81 + 4 + 0 = 666.

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

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, 132004072 + ... + 132005168.

It is an arithmetic number, because the mean of its divisors is an integer number (1303238160).

Almost surely, 2^144809068140 is an apocalyptic number.

144809068140 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 144809068140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250221726720).

144809068140 is an abundant number, since it is smaller than the sum of its proper divisors (355634385300).

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

144809068140 is a wasteful number, since it uses less digits than its factorization.

144809068140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 144809068140 in words is "one hundred forty-four billion, eight hundred nine million, sixty-eight thousand, one hundred forty".