11377152 has 80 divisors (see below), whose sum is σ = 33718080. Its totient is φ = 3787776.

The previous prime is 11377151. The next prime is 11377183. The reversal of 11377152 is 25177311.

It is a happy number.

It is a super-2 number, since 2×11377152² = 258879175262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11377151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13413 + ... + 14235.

It is an arithmetic number, because the mean of its divisors is an integer number (421476).

Almost surely, 2^11377152 is an apocalyptic number.

11377152 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 11377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859040).

11377152 is an abundant number, since it is smaller than the sum of its proper divisors (22340928).

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

11377152 is an frugal number, since it uses more digits than its factorization.

11377152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 828 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 11377152 is about 3373.0034094261. The cubic root of 11377152 is about 224.9112538896.

The spelling of 11377152 in words is "eleven million, three hundred seventy-seven thousand, one hundred fifty-two".