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145931625 = 345372971
BaseRepresentation
bin10001011001010…
…11110101101001
3101011121002120000
420230223311221
5244324303000
622251453213
73421253430
oct1054536551
9334532500
10145931625
1175413654
1240a57209
1324306198
141554a117
15cc29000
hex8b2bd69

145931625 has 160 divisors (see below), whose sum is σ = 326177280. Its totient is φ = 63504000.

The previous prime is 145931623. The next prime is 145931627. The reversal of 145931625 is 526139541.

145931625 is a `hidden beast` number, since 1 + 4 + 593 + 1 + 62 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (145931623) and next prime (145931627).

It is not a de Polignac number, because 145931625 - 21 = 145931623 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145931625.

It is not an unprimeable number, because it can be changed into a prime (145931623) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2055340 + ... + 2055410.

It is an arithmetic number, because the mean of its divisors is an integer number (2038608).

Almost surely, 2145931625 is an apocalyptic number.

145931625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145931625 is an abundant number, since it is smaller than the sum of its proper divisors (180245655).

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

145931625 is an equidigital number, since it uses as much as digits as its factorization.

145931625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 145931625 is about 12080.2162646204. The cubic root of 145931625 is about 526.4815295344.

The spelling of 145931625 in words is "one hundred forty-five million, nine hundred thirty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 29 35 45 63 71 75 81 87 105 125 135 145 175 189 203 213 225 261 315 355 375 405 435 497 525 567 609 639 675 725 783 875 945 1015 1065 1125 1305 1491 1575 1775 1827 1917 2025 2059 2175 2349 2485 2625 2835 3045 3195 3375 3625 3915 4473 4725 5075 5325 5481 5751 6177 6525 7455 7875 8875 9135 9585 10125 10295 10875 11745 12425 13419 14175 14413 15225 15975 16443 18531 19575 22365 23625 25375 26625 27405 28755 30885 32625 37275 40257 43239 45675 47925 51475 55593 58725 62125 67095 70875 72065 76125 79875 82215 92655 97875 111825 129717 137025 143775 154425 166779 186375 201285 216195 228375 239625 257375 277965 293625 335475 360325 389151 411075 463275 559125 648585 685125 718875 772125 833895 1006425 1080975 1167453 1389825 1677375 1801625 1945755 2055375 2316375 3242925 4169475 5032125 5404875 5837265 6949125 9728775 16214625 20847375 29186325 48643875 145931625