144777864 has 128 divisors (see below), whose sum is σ = 455040000. Its totient is φ = 37290240.

The previous prime is 144777863. The next prime is 144777869. The reversal of 144777864 is 468777441.

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 (144777863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289887 + ... + 290385.

It is an arithmetic number, because the mean of its divisors is an integer number (3555000).

Almost surely, 2^144777864 is an apocalyptic number.

144777864 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 144777864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227520000).

144777864 is an abundant number, since it is smaller than the sum of its proper divisors (310262136).

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

144777864 is a wasteful number, since it uses less digits than its factorization.

144777864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The square root of 144777864 is about 12032.3673481157. The cubic root of 144777864 is about 525.0903717444.

The spelling of 144777864 in words is "one hundred forty-four million, seven hundred seventy-seven thousand, eight hundred sixty-four".