144515640 has 64 divisors (see below), whose sum is σ = 459056160. Its totient is φ = 36270080.

The previous prime is 144515633. The next prime is 144515689. The reversal of 144515640 is 46515441.

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 = 144515598 and 144515607.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 33381 + ... + 37460.

Almost surely, 2^144515640 is an apocalyptic number.

144515640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144515640 is an abundant number, since it is smaller than the sum of its proper divisors (314540520).

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

144515640 is a wasteful number, since it uses less digits than its factorization.

144515640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70872 (or 70868 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 144515640 is about 12021.4658008082. The cubic root of 144515640 is about 524.7731627753.

The spelling of 144515640 in words is "one hundred forty-four million, five hundred fifteen thousand, six hundred forty".