130441536 has 224 divisors, whose sum is σ = 420624000. Its totient is φ = 39481344.

The previous prime is 130441523. The next prime is 130441589. The reversal of 130441536 is 635144031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 952060 + ... + 952196.

Almost surely, 2^130441536 is an apocalyptic number.

130441536 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 130441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210312000).

130441536 is an abundant number, since it is smaller than the sum of its proper divisors (290182464).

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

130441536 is a wasteful number, since it uses less digits than its factorization.

130441536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 130441536 is about 11421.1004723713. The cubic root of 130441536 is about 507.1525747866.

Adding to 130441536 its reverse (635144031), we get a palindrome (765585567).

The spelling of 130441536 in words is "one hundred thirty million, four hundred forty-one thousand, five hundred thirty-six".