130153320 has 192 divisors, whose sum is σ = 481852800. Its totient is φ = 30159360.

The previous prime is 130153301. The next prime is 130153327. The reversal of 130153320 is 23351031.

130153320 is a `hidden beast` number, since 130 + 1 + 533 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130153293 and 130153302.

It is not an unprimeable number, because it can be changed into a prime (130153327) 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, 90366 + ... + 91794.

It is an arithmetic number, because the mean of its divisors is an integer number (2509650).

Almost surely, 2^130153320 is an apocalyptic number.

130153320 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 130153320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240926400).

130153320 is an abundant number, since it is smaller than the sum of its proper divisors (351699480).

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

130153320 is a wasteful number, since it uses less digits than its factorization.

130153320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130153320 is about 11408.4757965295. The cubic root of 130153320 is about 506.7787744385.

The spelling of 130153320 in words is "one hundred thirty million, one hundred fifty-three thousand, three hundred twenty".