147130920 has 192 divisors, whose sum is σ = 524394000. Its totient is φ = 35610624.

The previous prime is 147130913. The next prime is 147130939. The reversal of 147130920 is 29031741.

It can be written as a sum of positive squares in 8 ways, for example, as 92044836 + 55086084 = 9594^2 + 7422^2 .

It is a super-3 number, since 3×147130920³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177066 + ... + 177894.

Almost surely, 2^147130920 is an apocalyptic number.

147130920 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 147130920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262197000).

147130920 is an abundant number, since it is smaller than the sum of its proper divisors (377263080).

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

147130920 is a wasteful number, since it uses less digits than its factorization.

147130920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 147130920 is about 12129.7535012052. The cubic root of 147130920 is about 527.9198397592.

The spelling of 147130920 in words is "one hundred forty-seven million, one hundred thirty thousand, nine hundred twenty".