130511600 has 60 divisors (see below), whose sum is σ = 324395160. Its totient is φ = 50400000.

The previous prime is 130511593. The next prime is 130511603. The reversal of 130511600 is 6115031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130511603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5975 + ... + 17225.

It is an arithmetic number, because the mean of its divisors is an integer number (5406586).

Almost surely, 2^130511600 is an apocalyptic number.

130511600 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 130511600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162197580).

130511600 is an abundant number, since it is smaller than the sum of its proper divisors (193883560).

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

130511600 is a wasteful number, since it uses less digits than its factorization.

130511600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11298 (or 11287 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 130511600 is about 11424.1673657208. The cubic root of 130511600 is about 507.2433607408.

Adding to 130511600 its reverse (6115031), we get a palindrome (136626631).

The spelling of 130511600 in words is "one hundred thirty million, five hundred eleven thousand, six hundred".