119952144 has 240 divisors, whose sum is σ = 392117760. Its totient is φ = 35043840.

The previous prime is 119952127. The next prime is 119952163. The reversal of 119952144 is 441259911.

It is a happy number.

119952144 is a `hidden beast` number, since 1 + 1 + 99 + 521 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 119952099 and 119952108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2263222 + ... + 2263274.

It is an arithmetic number, because the mean of its divisors is an integer number (1633824).

Almost surely, 2^119952144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119952144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196058880).

119952144 is an abundant number, since it is smaller than the sum of its proper divisors (272165616).

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

119952144 is a wasteful number, since it uses less digits than its factorization.

119952144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 119952144 is about 10952.2666147241. The cubic root of 119952144 is about 493.1768377896.

The spelling of 119952144 in words is "one hundred nineteen million, nine hundred fifty-two thousand, one hundred forty-four".