147131712 has 252 divisors, whose sum is σ = 529634196. Its totient is φ = 38707200.

The previous prime is 147131711. The next prime is 147131717. The reversal of 147131712 is 217131741.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 52186176 = 9744^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147131711) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 366712 + ... + 367112.

It is an arithmetic number, because the mean of its divisors is an integer number (2101723).

Almost surely, 2^147131712 is an apocalyptic number.

147131712 is a gapful number since it is divisible by the number (12) 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 147131712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264817098).

147131712 is an abundant number, since it is smaller than the sum of its proper divisors (382502484).

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

147131712 is a wasteful number, since it uses less digits than its factorization.

147131712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 426 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 147131712 is about 12129.7861481561. The cubic root of 147131712 is about 527.9207870148.

The spelling of 147131712 in words is "one hundred forty-seven million, one hundred thirty-one thousand, seven hundred twelve".