144769680 has 240 divisors, whose sum is σ = 550839744. Its totient is φ = 35043840.

The previous prime is 144769673. The next prime is 144769697. The reversal of 144769680 is 86967441.

144769680 is a `hidden beast` number, since 14 + 476 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213502 + ... + 214178.

Almost surely, 2^144769680 is an apocalyptic number.

144769680 is a gapful number since it is divisible by the number (10) 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 144769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275419872).

144769680 is an abundant number, since it is smaller than the sum of its proper divisors (406070064).

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

144769680 is a wasteful number, since it uses less digits than its factorization.

144769680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 144769680 is about 12032.0272606074. The cubic root of 144769680 is about 525.0804774589.

The spelling of 144769680 in words is "one hundred forty-four million, seven hundred sixty-nine thousand, six hundred eighty".