144451020 has 96 divisors (see below), whose sum is σ = 471744000. Its totient is φ = 33012672.

The previous prime is 144451007. The next prime is 144451033. The reversal of 144451020 is 20154441.

144451020 = T₂₇₅ + T₂₇₆ + ... + T₉₆₀.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144451007) and next prime (144451033).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 17071 + ... + 24089.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^144451020 is an apocalyptic number.

144451020 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 144451020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

144451020 is an abundant number, since it is smaller than the sum of its proper divisors (327292980).

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

144451020 is a wasteful number, since it uses less digits than its factorization.

144451020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 144451020 is about 12018.7778080802. Note that the first 3 decimals coincide. The cubic root of 144451020 is about 524.6949338781.

The spelling of 144451020 in words is "one hundred forty-four million, four hundred fifty-one thousand, twenty".