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145578132 = 223272325117
BaseRepresentation
bin10001010110101…
…01100010010100
3101010221010122200
420223111202110
5244232000012
622240124500
73415252020
oct1053254224
9333833580
10145578132
11751a2007
1240906730
132421130b
1415497380
15cba93dc
hex8ad5894

145578132 has 72 divisors (see below), whose sum is σ = 438861696. Its totient is φ = 39783744.

The previous prime is 145578131. The next prime is 145578137. The reversal of 145578132 is 231875541.

145578132 is a `hidden beast` number, since 1 + 455 + 78 + 132 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145578131) 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, 6763 + ... + 18354.

Almost surely, 2145578132 is an apocalyptic number.

145578132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145578132 is an abundant number, since it is smaller than the sum of its proper divisors (293283564).

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

145578132 is a wasteful number, since it uses less digits than its factorization.

145578132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25157 (or 25152 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 145578132 is about 12065.5763227456. The cubic root of 145578132 is about 526.0560836941.

The spelling of 145578132 in words is "one hundred forty-five million, five hundred seventy-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 25117 50234 75351 100468 150702 175819 226053 301404 351638 452106 527457 577691 703276 904212 1054914 1155382 1582371 1733073 2109828 2310764 3164742 3466146 4043837 5199219 6329484 6932292 8087674 10398438 12131511 16175348 20796876 24263022 36394533 48526044 72789066 145578132