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145950156 = 2232112971179
BaseRepresentation
bin10001011001100…
…00010111001100
3101011122000222100
420230300113030
5244330401111
622252115100
73421361442
oct1054602714
9334560870
10145950156
1175426570
1240a65a90
1324311751
1415552b92
15cc2e756
hex8b305cc

145950156 has 144 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 41865600.

The previous prime is 145950149. The next prime is 145950169. The reversal of 145950156 is 651059541.

145950156 is a `hidden beast` number, since 1 + 459 + 50 + 156 = 666.

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 145950156.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815275 + ... + 815453.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2145950156 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 145950156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

145950156 is an abundant number, since it is smaller than the sum of its proper divisors (278619444).

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

145950156 is a wasteful number, since it uses less digits than its factorization.

145950156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 145950156 is about 12080.9832381309. The cubic root of 145950156 is about 526.5038135237.

It can be divided in two parts, 1459 and 50156, that added together give a palindrome (51615).

The spelling of 145950156 in words is "one hundred forty-five million, nine hundred fifty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 71 87 99 116 132 142 174 179 198 213 261 284 319 348 358 396 426 522 537 638 639 716 781 852 957 1044 1074 1276 1278 1562 1611 1914 1969 2059 2148 2343 2556 2871 3124 3222 3828 3938 4118 4686 5191 5742 5907 6177 6444 7029 7876 8236 9372 10382 11484 11814 12354 12709 14058 15573 17721 18531 20764 22649 23628 24708 25418 28116 31146 35442 37062 38127 45298 46719 50836 57101 62292 67947 70884 74124 76254 90596 93438 114202 114381 135894 139799 152508 171303 186876 203841 228404 228762 271788 279598 342606 368561 407682 419397 457524 513909 559196 685212 737122 815364 838794 1027818 1105683 1258191 1474244 1677588 2055636 2211366 2516382 3317049 4054171 4422732 5032764 6634098 8108342 12162513 13268196 16216684 24325026 36487539 48650052 72975078 145950156