144261000 has 320 divisors, whose sum is σ = 547026480. Its totient is φ = 35251200.

The previous prime is 144260981. The next prime is 144261017. The reversal of 144261000 is 162441.

144261000 is a `hidden beast` number, since 14 + 42 + 610 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 116964 + 144144036 = 342^2 + 12006^2 .

It is a super-2 number, since 2×144261000² = 41622472242000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1052932 + ... + 1053068.

Almost surely, 2^144261000 is an apocalyptic number.

144261000 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 144261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273513240).

144261000 is an abundant number, since it is smaller than the sum of its proper divisors (402765480).

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

144261000 is a wasteful number, since it uses less digits than its factorization.

144261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144261000 is about 12010.8700767263. The cubic root of 144261000 is about 524.4647606294.

The spelling of 144261000 in words is "one hundred forty-four million, two hundred sixty-one thousand".