130837248 has 144 divisors (see below), whose sum is σ = 404221440. Its totient is φ = 41665536.

The previous prime is 130837181. The next prime is 130837277. The reversal of 130837248 is 842738031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×130837248³ (a number of 25 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 158565 + ... + 159387.

Almost surely, 2^130837248 is an apocalyptic number.

130837248 is a gapful number since it is divisible by the number (18) 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 130837248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202110720).

130837248 is an abundant number, since it is smaller than the sum of its proper divisors (273384192).

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

130837248 is an equidigital number, since it uses as much as digits as its factorization.

130837248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 130837248 is about 11438.4110784671. The cubic root of 130837248 is about 507.6648956592.

The spelling of 130837248 in words is "one hundred thirty million, eight hundred thirty-seven thousand, two hundred forty-eight".