144716000 has 288 divisors, whose sum is σ = 439193664. Its totient is φ = 46464000.

The previous prime is 144715999. The next prime is 144716009. The reversal of 144716000 is 617441.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144716009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6291989 + ... + 6292011.

It is an arithmetic number, because the mean of its divisors is an integer number (1524978).

Almost surely, 2^144716000 is an apocalyptic number.

144716000 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 144716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

144716000 is an abundant number, since it is smaller than the sum of its proper divisors (294477664).

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

144716000 is a wasteful number, since it uses less digits than its factorization.

144716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 144716000 is about 12029.7963407532. The cubic root of 144716000 is about 525.0155702109.

The spelling of 144716000 in words is "one hundred forty-four million, seven hundred sixteen thousand".