147129312 has 96 divisors (see below), whose sum is σ = 443560320. Its totient is φ = 42232320.

The previous prime is 147129287. The next prime is 147129313. The reversal of 147129312 is 213921741.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 147129312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147129313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16398 + ... + 23730.

It is an arithmetic number, because the mean of its divisors is an integer number (4620420).

Almost surely, 2^147129312 is an apocalyptic number.

147129312 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 147129312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221780160).

147129312 is an abundant number, since it is smaller than the sum of its proper divisors (296431008).

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

147129312 is a wasteful number, since it uses less digits than its factorization.

147129312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376 (or 7368 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 147129312 is about 12129.6872177315. The cubic root of 147129312 is about 527.9179165328.

The spelling of 147129312 in words is "one hundred forty-seven million, one hundred twenty-nine thousand, three hundred twelve".