144957120 has 448 divisors, whose sum is σ = 600431616. Its totient is φ = 28753920.

The previous prime is 144957107. The next prime is 144957149. The reversal of 144957120 is 21759441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2735014 + ... + 2735066.

Almost surely, 2^144957120 is an apocalyptic number.

144957120 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 144957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300215808).

144957120 is an abundant number, since it is smaller than the sum of its proper divisors (455474496).

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

144957120 is a wasteful number, since it uses less digits than its factorization.

144957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 144957120 is about 12039.8139520509. The cubic root of 144957120 is about 525.3069950521.

The spelling of 144957120 in words is "one hundred forty-four million, nine hundred fifty-seven thousand, one hundred twenty".