144753732 has 72 divisors (see below), whose sum is σ = 384897240. Its totient is φ = 45803520.

The previous prime is 144753673. The next prime is 144753733. The reversal of 144753732 is 237357441.

It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 129823236 = 3864^2 + 11394^2 .

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

It is not an unprimeable number, because it can be changed into a prime (144753733) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62548 + ... + 64820.

It is an arithmetic number, because the mean of its divisors is an integer number (5345795).

Almost surely, 2^144753732 is an apocalyptic number.

144753732 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 144753732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192448620).

144753732 is an abundant number, since it is smaller than the sum of its proper divisors (240143508).

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

144753732 is a wasteful number, since it uses less digits than its factorization.

144753732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2368 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 144753732 is about 12031.3645111434. The cubic root of 144753732 is about 525.0611955877.

The spelling of 144753732 in words is "one hundred forty-four million, seven hundred fifty-three thousand, seven hundred thirty-two".