1137280 has 32 divisors (see below), whose sum is σ = 2720340. Its totient is φ = 454656.

The previous prime is 1137271. The next prime is 1137289. The reversal of 1137280 is 827311.

It is an interprime number because it is at equal distance from previous prime (1137271) and next prime (1137289).

It can be written as a sum of positive squares in 2 ways, for example, as 1132096 + 5184 = 1064^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1137289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249 + ... + 1528.

2^1137280 is an apocalyptic number.

1137280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1137280 is an abundant number, since it is smaller than the sum of its proper divisors (1583060).

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

1137280 is an equidigital number, since it uses as much as digits as its factorization.

1137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1137280 is about 1066.4333078069. The cubic root of 1137280 is about 104.3812437251.

The spelling of 1137280 in words is "one million, one hundred thirty-seven thousand, two hundred eighty".