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130240000 = 29541137

130240000 has 200 divisors, whose sum is σ = 364327128. Its totient is φ = 46080000.

The previous prime is 130239983. The next prime is 130240039. The reversal of 130240000 is 42031.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 19 ways as a sum of consecutive naturals, for example, 3519982 + ... + 3520018.

Almost surely, 2130240000 is an apocalyptic number.

130240000 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 130240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182163564).

130240000 is an abundant number, since it is smaller than the sum of its proper divisors (234087128).

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

130240000 is an frugal number, since it uses more digits than its factorization.

130240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 130240000 is about 11412.2740941497. The cubic root of 130240000 is about 506.8912516208.

Adding to 130240000 its reverse (42031), we get a palindrome (130282031).

The spelling of 130240000 in words is "one hundred thirty million, two hundred forty thousand".