11905152 has 128 divisors (see below), whose sum is σ = 37340160. Its totient is φ = 3290112.

The previous prime is 11905139. The next prime is 11905171. The reversal of 11905152 is 25150911.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115533 + ... + 115635.

It is an arithmetic number, because the mean of its divisors is an integer number (291720).

Almost surely, 2^11905152 is an apocalyptic number.

11905152 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 11905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18670080).

11905152 is an abundant number, since it is smaller than the sum of its proper divisors (25435008).

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

11905152 is a wasteful number, since it uses less digits than its factorization.

11905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 11905152 is about 3450.3843264193. The cubic root of 11905152 is about 228.3380642042.

The spelling of 11905152 in words is "eleven million, nine hundred five thousand, one hundred fifty-two".