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147345156 = 2234729281
BaseRepresentation
bin10001100100001…
…00111100000100
3101021020220120000
420302010330010
5300210021111
622342041300
73436261500
oct1062047404
9337226500
10147345156
1176199662
1241419230
13246ac6aa
14157d7300
15ce07c56
hex8c84f04

147345156 has 90 divisors (see below), whose sum is σ = 448125678. Its totient is φ = 42094080.

The previous prime is 147345119. The next prime is 147345157. The reversal of 147345156 is 651543741.

It can be written as a sum of positive squares in only one way, i.e., 143280900 + 4064256 = 11970^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 147345156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147345157) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11236 + ... + 20516.

Almost surely, 2147345156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147345156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224062839).

147345156 is an abundant number, since it is smaller than the sum of its proper divisors (300780522).

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

147345156 is a wasteful number, since it uses less digits than its factorization.

147345156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9311 (or 9293 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 147345156 is about 12138.5813009594. The cubic root of 147345156 is about 528.1759485925.

Adding to 147345156 its reverse (651543741), we get a palindrome (798888897).

The spelling of 147345156 in words is "one hundred forty-seven million, three hundred forty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 9281 15876 18562 27843 37124 55686 64967 83529 111372 129934 167058 194901 250587 259868 334116 389802 454769 501174 584703 751761 779604 909538 1002348 1169406 1364307 1503522 1754109 1819076 2338812 2728614 3007044 3508218 4092921 5262327 5457228 7016436 8185842 10524654 12278763 16371684 21049308 24557526 36836289 49115052 73672578 147345156