147312 has 80 divisors (see below), whose sum is σ = 476160. Its totient is φ = 43200.

The previous prime is 147311. The next prime is 147319. The reversal of 147312 is 213741.

It can be divided in two parts, 1473 and 12, that added together give a triangular number (1485 = T_{54}).

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

It is a tetranacci number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 147312.

It is not an unprimeable number, because it can be changed into a prime (147311) 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, 4737 + ... + 4767.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2^{147312} is an apocalyptic number.

147312 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 147312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080).

147312 is an abundant number, since it is smaller than the sum of its proper divisors (328848).

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

147312 is a wasteful number, since it uses less digits than its factorization.

147312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 47 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 147312 is about 383.8124542013. The cubic root of 147312 is about 52.8136328434.

The spelling of 147312 in words is "one hundred forty-seven thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 837 1023 1116 1188 1364 1488 1584 1674 2046 2232 2376 2728 3069 3348 4092 4464 4752 5456 6138 6696 8184 9207 12276 13392 16368 18414 24552 36828 49104 73656 147312

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