1430117136 has 270 divisors, whose sum is σ = 4841873322. Its totient is φ = 392878080.

The previous prime is 1430117131. The next prime is 1430117191. The reversal of 1430117136 is 6317110341.

It can be written as a sum of positive squares in 3 ways, for example, as 389667600 + 1040449536 = 19740^2 + 32256^2 .

It is not an unprimeable number, because it can be changed into a prime (1430117131) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5933976 + ... + 5934216.

Almost surely, 2^1430117136 is an apocalyptic number.

1430117136 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 1430117136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420936661).

1430117136 is an abundant number, since it is smaller than the sum of its proper divisors (3411756186).

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

1430117136 is a wasteful number, since it uses less digits than its factorization.

1430117136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1430117136 is about 37816.8895600894. The cubic root of 1430117136 is about 1126.6539322970.

Adding to 1430117136 its reverse (6317110341), we get a palindrome (7747227477).

The spelling of 1430117136 in words is "one billion, four hundred thirty million, one hundred seventeen thousand, one hundred thirty-six".