1427317136 has 80 divisors (see below), whose sum is σ = 3260041344. Its totient is φ = 592730112.

The previous prime is 1427317123. The next prime is 1427317193. The reversal of 1427317136 is 6317137241.

It is a super-3 number, since 3×1427317136³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1427317096 and 1427317105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491240 + ... + 494136.

Almost surely, 2^1427317136 is an apocalyptic number.

1427317136 is a gapful number since it is divisible by the number (16) 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 1427317136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630020672).

1427317136 is an abundant number, since it is smaller than the sum of its proper divisors (1832724208).

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

1427317136 is a wasteful number, since it uses less digits than its factorization.

1427317136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3042 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 1427317136 is about 37779.8509261220. The cubic root of 1427317136 is about 1125.9181669131.

The spelling of 1427317136 in words is "one billion, four hundred twenty-seven million, three hundred seventeen thousand, one hundred thirty-six".