130653120 has 336 divisors, whose sum is σ = 487740960. Its totient is φ = 29417472.

The previous prime is 130653079. The next prime is 130653121. The reversal of 130653120 is 21356031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130653121) 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, 4505266 + ... + 4505294.

It is an arithmetic number, because the mean of its divisors is an integer number (1451610).

Almost surely, 2^130653120 is an apocalyptic number.

130653120 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 130653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243870480).

130653120 is an abundant number, since it is smaller than the sum of its proper divisors (357087840).

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

130653120 is a wasteful number, since it uses less digits than its factorization.

130653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 130653120 is about 11430.3595743966. The cubic root of 130653120 is about 507.4266372960.

The spelling of 130653120 in words is "one hundred thirty million, six hundred fifty-three thousand, one hundred twenty".