144419616 has 72 divisors (see below), whose sum is σ = 448038864. Its totient is φ = 43762560.

The previous prime is 144419593. The next prime is 144419617. The reversal of 144419616 is 616914441.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144419617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19626 + ... + 25961.

It is an arithmetic number, because the mean of its divisors is an integer number (6222762).

Almost surely, 2^144419616 is an apocalyptic number.

144419616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144419616 is an abundant number, since it is smaller than the sum of its proper divisors (303619248).

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

144419616 is a wasteful number, since it uses less digits than its factorization.

144419616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45614 (or 45603 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 144419616 is about 12017.4712814302. The cubic root of 144419616 is about 524.6569078078.

The spelling of 144419616 in words is "one hundred forty-four million, four hundred nineteen thousand, six hundred sixteen".