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145136610 = 236543463
BaseRepresentation
bin10001010011010…
…01101111100010
3101010002201000000
420221221233202
5244123332420
622222440430
73411432543
oct1051515742
9333081000
10145136610
1174a20313
1240733116
13240b8368
14153c04ca
15cb1d690
hex8a69be2

145136610 has 112 divisors (see below), whose sum is σ = 401664384. Its totient is φ = 37721376.

The previous prime is 145136591. The next prime is 145136617. The reversal of 145136610 is 16631541.

145136610 is a `hidden beast` number, since 1 + 45 + 1 + 3 + 6 + 610 = 666.

145136610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145136617) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 313239 + ... + 313701.

Almost surely, 2145136610 is an apocalyptic number.

145136610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145136610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200832192).

145136610 is an abundant number, since it is smaller than the sum of its proper divisors (256527774).

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

145136610 is an equidigital number, since it uses as much as digits as its factorization.

145136610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 145136610 is about 12047.2656648718. The cubic root of 145136610 is about 525.5237222766.

The spelling of 145136610 in words is "one hundred forty-five million, one hundred thirty-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 243 258 270 387 405 430 463 486 645 729 774 810 926 1161 1215 1290 1389 1458 1935 2315 2322 2430 2778 3483 3645 3870 4167 4630 5805 6945 6966 7290 8334 10449 11610 12501 13890 17415 19909 20835 20898 25002 31347 34830 37503 39818 41670 52245 59727 62505 62694 75006 99545 104490 112509 119454 125010 156735 179181 187515 199090 225018 298635 313470 337527 358362 375030 537543 562545 597270 675054 895905 1075086 1125090 1612629 1687635 1791810 2687715 3225258 3375270 4837887 5375430 8063145 9675774 14513661 16126290 24189435 29027322 48378870 72568305 145136610