1165770144 has 504 divisors, whose sum is σ = 4395958560. Its totient is φ = 297665280.

The previous prime is 1165770131. The next prime is 1165770161. The reversal of 1165770144 is 4410775611.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1165770099 and 1165770108.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19758787 + ... + 19758845.

It is an arithmetic number, because the mean of its divisors is an integer number (8722140).

Almost surely, 2^1165770144 is an apocalyptic number.

1165770144 is a gapful number since it is divisible by the number (14) 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 1165770144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197979280).

1165770144 is an abundant number, since it is smaller than the sum of its proper divisors (3230188416).

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

1165770144 is an equidigital number, since it uses as much as digits as its factorization.

1165770144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1165770144 is about 34143.3762829630. The cubic root of 1165770144 is about 1052.4568752912.

The spelling of 1165770144 in words is "one billion, one hundred sixty-five million, seven hundred seventy thousand, one hundred forty-four".