144117792 has 360 divisors, whose sum is σ = 535683456. Its totient is φ = 37200384.

The previous prime is 144117769. The next prime is 144117803. The reversal of 144117792 is 297711441.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (14112) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3066313 + ... + 3066359.

Almost surely, 2^144117792 is an apocalyptic number.

144117792 is a gapful number since it is divisible by the number (12) 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 144117792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267841728).

144117792 is an abundant number, since it is smaller than the sum of its proper divisors (391565664).

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

144117792 is a wasteful number, since it uses less digits than its factorization.

144117792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 144117792 is about 12004.9069967243. The cubic root of 144117792 is about 524.2911576546.

The spelling of 144117792 in words is "one hundred forty-four million, one hundred seventeen thousand, seven hundred ninety-two".