130753350 has 288 divisors, whose sum is σ = 450637824. Its totient is φ = 26438400.

The previous prime is 130753349. The next prime is 130753351. The reversal of 130753350 is 53357031.

130753350 is a `hidden beast` number, since 1 + 307 + 5 + 3 + 350 = 666.

It is an interprime number because it is at equal distance from previous prime (130753349) and next prime (130753351).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130753351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1269399 + ... + 1269501.

Almost surely, 2^130753350 is an apocalyptic number.

130753350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130753350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225318912).

130753350 is an abundant number, since it is smaller than the sum of its proper divisors (319884474).

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

130753350 is a wasteful number, since it uses less digits than its factorization.

130753350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 130753350 is about 11434.7431103633. The cubic root of 130753350 is about 507.5563608772.

The spelling of 130753350 in words is "one hundred thirty million, seven hundred fifty-three thousand, three hundred fifty".