130838760 has 128 divisors (see below), whose sum is σ = 469728000. Its totient is φ = 32203008.

The previous prime is 130838683. The next prime is 130838791. The reversal of 130838760 is 67838031.

It is a super-2 number, since 2×130838760² = 34237562236675200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9381 + ... + 18699.

It is an arithmetic number, because the mean of its divisors is an integer number (3669750).

Almost surely, 2^130838760 is an apocalyptic number.

130838760 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 130838760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234864000).

130838760 is an abundant number, since it is smaller than the sum of its proper divisors (338889240).

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

130838760 is a wasteful number, since it uses less digits than its factorization.

130838760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 130838760 is about 11438.4771713721. The cubic root of 130838760 is about 507.6668512347. Note that the first 3 decimals are identical.

The spelling of 130838760 in words is "one hundred thirty million, eight hundred thirty-eight thousand, seven hundred sixty".