130248000 has 336 divisors, whose sum is σ = 490386624. Its totient is φ = 34214400.

The previous prime is 130247963. The next prime is 130248007. The reversal of 130248000 is 842031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130248007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943967 + ... + 1944033.

It is an arithmetic number, because the mean of its divisors is an integer number (1459484).

Almost surely, 2^130248000 is an apocalyptic number.

130248000 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 130248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245193312).

130248000 is an abundant number, since it is smaller than the sum of its proper divisors (360138624).

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

130248000 is an frugal number, since it uses more digits than its factorization.

130248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 130248000 is about 11412.6245885861. The cubic root of 130248000 is about 506.9016300171.

The spelling of 130248000 in words is "one hundred thirty million, two hundred forty-eight thousand".