144551952 has 130 divisors (see below), whose sum is σ = 444815838. Its totient is φ = 45349632.

The previous prime is 144551929. The next prime is 144551959. The reversal of 144551952 is 259155441.

144551952 is a `hidden beast` number, since 14 + 4 + 551 + 95 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136048896 + 8503056 = 11664^2 + 2916^2 .

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

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (144551959) by changing a digit.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 8503048 + ... + 8503064.

Almost surely, 2^144551952 is an apocalyptic number.

144551952 is a gapful number since it is divisible by the number (12) 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 144551952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222407919).

144551952 is an abundant number, since it is smaller than the sum of its proper divisors (300263886).

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

144551952 is an frugal number, since it uses more digits than its factorization.

144551952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 22 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 144551952 is about 12022.9760043011. The cubic root of 144551952 is about 524.8171118070.

The spelling of 144551952 in words is "one hundred forty-four million, five hundred fifty-one thousand, nine hundred fifty-two".