130351520 has 96 divisors (see below), whose sum is σ = 343239120. Its totient is φ = 46448640.

The previous prime is 130351519. The next prime is 130351523. The reversal of 130351520 is 25153031.

130351520 = 1384² + 1385² + ... + 1448².

It can be written as a sum of positive squares in 8 ways, for example, as 41011216 + 89340304 = 6404^2 + 9452^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130351492 and 130351501.

It is not an unprimeable number, because it can be changed into a prime (130351523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59240 + ... + 61400.

Almost surely, 2^130351520 is an apocalyptic number.

130351520 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 130351520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171619560).

130351520 is an abundant number, since it is smaller than the sum of its proper divisors (212887600).

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

130351520 is a wasteful number, since it uses less digits than its factorization.

130351520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 130351520 is about 11417.1590161476. The cubic root of 130351520 is about 507.0358881523.

It can be divided in two parts, 130 and 351520, that multiplied together give a square (45697600 = 6760²).

The spelling of 130351520 in words is "one hundred thirty million, three hundred fifty-one thousand, five hundred twenty".