144507720 has 128 divisors (see below), whose sum is σ = 502640640. Its totient is φ = 32551680.

The previous prime is 144507707. The next prime is 144507743. The reversal of 144507720 is 27705441.

It is a super-2 number, since 2×144507720² = 41764962279196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 58429 + ... + 60851.

It is an arithmetic number, because the mean of its divisors is an integer number (3926880).

Almost surely, 2^144507720 is an apocalyptic number.

144507720 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 144507720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251320320).

144507720 is an abundant number, since it is smaller than the sum of its proper divisors (358132920).

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

144507720 is a wasteful number, since it uses less digits than its factorization.

144507720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 144507720 is about 12021.1363855502. The cubic root of 144507720 is about 524.7635760866.

The spelling of 144507720 in words is "one hundred forty-four million, five hundred seven thousand, seven hundred twenty".