130350000 has 240 divisors, whose sum is σ = 464970240. Its totient is φ = 31200000.

The previous prime is 130349987. The next prime is 130350007. The reversal of 130350000 is 53031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×130350000² = 33982245000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (130350007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649961 + ... + 1650039.

It is an arithmetic number, because the mean of its divisors is an integer number (1937376).

Almost surely, 2^130350000 is an apocalyptic number.

130350000 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 130350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485120).

130350000 is an abundant number, since it is smaller than the sum of its proper divisors (334620240).

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

130350000 is an equidigital number, since it uses as much as digits as its factorization.

130350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 130350000 is about 11417.0924494812. The cubic root of 130350000 is about 507.0339173338.

The spelling of 130350000 in words is "one hundred thirty million, three hundred fifty thousand".