1317775140 has 144 divisors (see below), whose sum is σ = 4375425600. Its totient is φ = 318378240.

The previous prime is 1317775139. The next prime is 1317775157. The reversal of 1317775140 is 415777131.

1317775140 is a `hidden beast` number, since 131 + 7 + 7 + 7 + 514 + 0 = 666.

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 = 1317775095 and 1317775104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690067 + ... + 691973.

It is an arithmetic number, because the mean of its divisors is an integer number (30384900).

Almost surely, 2^1317775140 is an apocalyptic number.

1317775140 is a gapful number since it is divisible by the number (10) 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 1317775140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187712800).

1317775140 is an abundant number, since it is smaller than the sum of its proper divisors (3057650460).

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

1317775140 is a wasteful number, since it uses less digits than its factorization.

1317775140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 1317775140 is about 36301.1727083300. The cubic root of 1317775140 is about 1096.3446544691.

The spelling of 1317775140 in words is "one billion, three hundred seventeen million, seven hundred seventy-five thousand, one hundred forty".