144077076 has 192 divisors, whose sum is σ = 462873600. Its totient is φ = 38102400.

The previous prime is 144077071. The next prime is 144077077. The reversal of 144077076 is 670770441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144077076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144077071) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 293191 + ... + 293681.

It is an arithmetic number, because the mean of its divisors is an integer number (2410800).

Almost surely, 2^144077076 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 144077076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231436800).

144077076 is an abundant number, since it is smaller than the sum of its proper divisors (318796524).

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

144077076 is a wasteful number, since it uses less digits than its factorization.

144077076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 144077076 is about 12003.2110703761. The cubic root of 144077076 is about 524.2417789505.

The spelling of 144077076 in words is "one hundred forty-four million, seventy-seven thousand, seventy-six".