144252264 has 128 divisors (see below), whose sum is σ = 408240000. Its totient is φ = 42169344.

The previous prime is 144252223. The next prime is 144252281. The reversal of 144252264 is 462252441.

144252264 = T₄₆₇ + T₄₆₈ + ... + T₉₈₈.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968062 + ... + 968210.

It is an arithmetic number, because the mean of its divisors is an integer number (3189375).

Almost surely, 2^144252264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144252264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204120000).

144252264 is an abundant number, since it is smaller than the sum of its proper divisors (263987736).

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

144252264 is a wasteful number, since it uses less digits than its factorization.

144252264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 144252264 is about 12010.5064006477. The cubic root of 144252264 is about 524.4541737611.

The spelling of 144252264 in words is "one hundred forty-four million, two hundred fifty-two thousand, two hundred sixty-four".