144953424 has 240 divisors, whose sum is σ = 536215680. Its totient is φ = 35389440.

The previous prime is 144953401. The next prime is 144953437. The reversal of 144953424 is 424359441.

144953424 is a `hidden beast` number, since 144 + 95 + 3 + 424 = 666.

It is a super-2 number, since 2×144953424² = 42022990258647552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188112 + ... + 188880.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^144953424 is an apocalyptic number.

144953424 is a gapful number since it is divisible by the number (14) 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 144953424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

144953424 is an abundant number, since it is smaller than the sum of its proper divisors (391262256).

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

144953424 is a wasteful number, since it uses less digits than its factorization.

144953424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 809 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 144953424 is about 12039.6604603286. The cubic root of 144953424 is about 525.3025303958.

The spelling of 144953424 in words is "one hundred forty-four million, nine hundred fifty-three thousand, four hundred twenty-four".