144977904 has 160 divisors (see below), whose sum is σ = 464256000. Its totient is φ = 43047936.

The previous prime is 144977893. The next prime is 144977909. The reversal of 144977904 is 409779441.

It is a self number, because there is not a number n which added to its sum of digits gives 144977904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144977909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139017 + ... + 140055.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2^144977904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144977904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128000).

144977904 is an abundant number, since it is smaller than the sum of its proper divisors (319278096).

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

144977904 is a wasteful number, since it uses less digits than its factorization.

144977904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 144977904 is about 12040.6770573751. The cubic root of 144977904 is about 525.3321000827.

The spelling of 144977904 in words is "one hundred forty-four million, nine hundred seventy-seven thousand, nine hundred four".