241919136 has 144 divisors (see below), whose sum is σ = 728136864. Its totient is φ = 78983424.

The previous prime is 241919099. The next prime is 241919143. The reversal of 241919136 is 631919142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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.

It is a self number, because there is not a number n which added to its sum of digits gives 241919136.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 411835 + ... + 412421.

It is an arithmetic number, because the mean of its divisors is an integer number (5056506).

Almost surely, 2^241919136 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 241919136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364068432).

241919136 is an abundant number, since it is smaller than the sum of its proper divisors (486217728).

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

241919136 is an equidigital number, since it uses as much as digits as its factorization.

241919136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 645 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 241919136 is about 15553.7499015511. The cubic root of 241919136 is about 623.0985504364.

The spelling of 241919136 in words is "two hundred forty-one million, nine hundred nineteen thousand, one hundred thirty-six".