153130320 has 240 divisors, whose sum is σ = 613746432. Its totient is φ = 33454080.

The previous prime is 153130283. The next prime is 153130321. The reversal of 153130320 is 23031351.

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

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 = 153130293 and 153130302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153130321) 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, 115260 + ... + 116580.

Almost surely, 2^153130320 is an apocalyptic number.

153130320 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 153130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306873216).

153130320 is an abundant number, since it is smaller than the sum of its proper divisors (460616112).

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

153130320 is a wasteful number, since it uses less digits than its factorization.

153130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1361 counting only the distinct ones).

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

The square root of 153130320 is about 12374.5836293590. The cubic root of 153130320 is about 534.9999359478. Note that the first 4 decimals are identical.

Adding to 153130320 its reverse (23031351), we get a palindrome (176161671).

The spelling of 153130320 in words is "one hundred fifty-three million, one hundred thirty thousand, three hundred twenty".