144296040 has 128 divisors (see below), whose sum is σ = 497295360. Its totient is φ = 32811264.

The previous prime is 144296021. The next prime is 144296057. The reversal of 144296040 is 40692441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144295989 and 144296007.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 237417 + ... + 238023.

It is an arithmetic number, because the mean of its divisors is an integer number (3885120).

Almost surely, 2^144296040 is an apocalyptic number.

144296040 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 144296040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248647680).

144296040 is an abundant number, since it is smaller than the sum of its proper divisors (352999320).

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

144296040 is a wasteful number, since it uses less digits than its factorization.

144296040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 144296040 is about 12012.3286668323. The cubic root of 144296040 is about 524.5072201473.

The spelling of 144296040 in words is "one hundred forty-four million, two hundred ninety-six thousand, forty".