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145132146 = 23219479029
BaseRepresentation
bin10001010011010…
…00101001110010
3101010002110212200
420221220221302
5244123212041
622222404030
73411413535
oct1051505162
9333073780
10145132146
1174a17a25
1240730616
13240b6313
14153bca1c
15cb1c1b6
hex8a68a72

145132146 has 48 divisors (see below), whose sum is σ = 338083200. Its totient is φ = 44851104.

The previous prime is 145132129. The next prime is 145132147. The reversal of 145132146 is 641231541.

It is a happy number.

145132146 is a `hidden beast` number, since 1 + 4 + 513 + 2 + 146 = 666.

It is not an unprimeable number, because it can be changed into a prime (145132147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11560 + ... + 20588.

It is an arithmetic number, because the mean of its divisors is an integer number (7043400).

Almost surely, 2145132146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145132146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169041600).

145132146 is an abundant number, since it is smaller than the sum of its proper divisors (192951054).

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

145132146 is a wasteful number, since it uses less digits than its factorization.

145132146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9103 (or 9100 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 145132146 is about 12047.0803931907. The cubic root of 145132146 is about 525.5183343368.

Adding to 145132146 its reverse (641231541), we get a palindrome (786363687).

The spelling of 145132146 in words is "one hundred forty-five million, one hundred thirty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 2679 5358 8037 9029 16074 18058 27087 54174 81261 162522 171551 343102 424363 514653 848726 1029306 1273089 1543959 2546178 3087918 3819267 7638534 8062897 16125794 24188691 48377382 72566073 145132146