144719904 has 96 divisors (see below), whose sum is σ = 448229376. Its totient is φ = 40008960.

The previous prime is 144719899. The next prime is 144719917. The reversal of 144719904 is 409917441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×144719904² = 41887701227538432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17359 + ... + 24305.

It is an arithmetic number, because the mean of its divisors is an integer number (4669056).

Almost surely, 2^144719904 is an apocalyptic number.

144719904 is a gapful number since it is divisible by the number (14) 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 144719904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224114688).

144719904 is an abundant number, since it is smaller than the sum of its proper divisors (303509472).

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

144719904 is a wasteful number, since it uses less digits than its factorization.

144719904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 144719904 is about 12029.9586034200. The cubic root of 144719904 is about 525.0202912792.

The spelling of 144719904 in words is "one hundred forty-four million, seven hundred nineteen thousand, nine hundred four".