119965248 has 168 divisors, whose sum is σ = 381196088. Its totient is φ = 35831808.

The previous prime is 119965247. The next prime is 119965253. The reversal of 119965248 is 842569911.

119965248 is a `hidden beast` number, since 119 + 9 + 6 + 524 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 115089984 = 2208^2 + 10728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119965247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276840 + ... + 277272.

Almost surely, 2^119965248 is an apocalyptic number.

119965248 is a gapful number since it is divisible by the number (18) 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 119965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190598044).

119965248 is an abundant number, since it is smaller than the sum of its proper divisors (261230840).

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

119965248 is a wasteful number, since it uses less digits than its factorization.

119965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 488 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 119965248 is about 10952.8648307189. The cubic root of 119965248 is about 493.1947959345.

The spelling of 119965248 in words is "one hundred nineteen million, nine hundred sixty-five thousand, two hundred forty-eight".