130015632 has 80 divisors (see below), whose sum is σ = 363200960. Its totient is φ = 39937536.

The previous prime is 130015601. The next prime is 130015637. The reversal of 130015632 is 236510031.

It is a junction number, because it is equal to n+sod(n) for n = 130015599 and 130015608.

It is not an unprimeable number, because it can be changed into a prime (130015637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31818 + ... + 35670.

It is an arithmetic number, because the mean of its divisors is an integer number (4540012).

Almost surely, 2^130015632 is an apocalyptic number.

130015632 is a gapful number since it is divisible by the number (12) 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 130015632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181600480).

130015632 is an abundant number, since it is smaller than the sum of its proper divisors (233185328).

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

130015632 is a wasteful number, since it uses less digits than its factorization.

130015632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 130015632 is about 11402.4397389331. The cubic root of 130015632 is about 506.6000058499.

Adding to 130015632 its reverse (236510031), we get a palindrome (366525663).

The spelling of 130015632 in words is "one hundred thirty million, fifteen thousand, six hundred thirty-two".