144969000 has 256 divisors, whose sum is σ = 517570560. Its totient is φ = 33440000.

The previous prime is 144968969. The next prime is 144969017. The reversal of 144969000 is 969441.

It is a super-2 number, since 2×144969000² = 42032021922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758905 + ... + 759095.

It is an arithmetic number, because the mean of its divisors is an integer number (2021760).

Almost surely, 2^144969000 is an apocalyptic number.

144969000 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 144969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258785280).

144969000 is an abundant number, since it is smaller than the sum of its proper divisors (372601560).

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

144969000 is a wasteful number, since it uses less digits than its factorization.

144969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 144969000 is about 12040.3073050483. The cubic root of 144969000 is about 525.3213452190.

The spelling of 144969000 in words is "one hundred forty-four million, nine hundred sixty-nine thousand".