11137152 has 128 divisors (see below), whose sum is σ = 33586560. Its totient is φ = 3244032.

The previous prime is 11137127. The next prime is 11137163. The reversal of 11137152 is 25173111.

It is a happy number.

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

It is a super-2 number, since 2×11137152² = 248072309342208, which contains 22 as substring.

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, 114768 + ... + 114864.

It is an arithmetic number, because the mean of its divisors is an integer number (262395).

Almost surely, 2^11137152 is an apocalyptic number.

11137152 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 11137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793280).

11137152 is an abundant number, since it is smaller than the sum of its proper divisors (22449408).

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

11137152 is a wasteful number, since it uses less digits than its factorization.

11137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 210, while the sum is 21.

The square root of 11137152 is about 3337.2371806631. The cubic root of 11137152 is about 223.3185069735.

The spelling of 11137152 in words is "eleven million, one hundred thirty-seven thousand, one hundred fifty-two".