144793152 has 84 divisors (see below), whose sum is σ = 474325696. Its totient is φ = 41368320.

The previous prime is 144793151. The next prime is 144793153. The reversal of 144793152 is 251397441.

It is an interprime number because it is at equal distance from previous prime (144793151) and next prime (144793153).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is not an unprimeable number, because it can be changed into a prime (144793151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13924 + ... + 21987.

Almost surely, 2^144793152 is an apocalyptic number.

144793152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144793152 is an abundant number, since it is smaller than the sum of its proper divisors (329532544).

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

144793152 is a wasteful number, since it uses less digits than its factorization.

144793152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35936 (or 35923 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 144793152 is about 12033.0026178008. The cubic root of 144793152 is about 525.1088536192.

The spelling of 144793152 in words is "one hundred forty-four million, seven hundred ninety-three thousand, one hundred fifty-two".