144870120 has 160 divisors (see below), whose sum is σ = 495582120. Its totient is φ = 37946880.

The previous prime is 144870119. The next prime is 144870127. The reversal of 144870120 is 21078441.

It can be written as a sum of positive squares in 4 ways, for example, as 117809316 + 27060804 = 10854^2 + 5202^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144870127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197274 + ... + 198006.

Almost surely, 2^144870120 is an apocalyptic number.

144870120 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 144870120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247791060).

144870120 is an abundant number, since it is smaller than the sum of its proper divisors (350712000).

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

144870120 is a wasteful number, since it uses less digits than its factorization.

144870120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 144870120 is about 12036.2003971353. The cubic root of 144870120 is about 525.2018815429.

The spelling of 144870120 in words is "one hundred forty-four million, eight hundred seventy thousand, one hundred twenty".