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146117136 = 243113179113
BaseRepresentation
bin10001011010110…
…01001000010000
3101011221112000210
420231121020100
5244401222021
622255444120
73422655324
oct1055311020
9334845023
10146117136
117552aa70
1240b26640
132436c759
1415597984
15cc63e76
hex8b59210

146117136 has 160 divisors (see below), whose sum is σ = 434257920. Its totient is φ = 41932800.

The previous prime is 146117129. The next prime is 146117171. The reversal of 146117136 is 631711641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293016 + ... + 1293128.

It is an arithmetic number, because the mean of its divisors is an integer number (2714112).

Almost surely, 2146117136 is an apocalyptic number.

146117136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146117136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217128960).

146117136 is an abundant number, since it is smaller than the sum of its proper divisors (288140784).

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

146117136 is a wasteful number, since it uses less digits than its factorization.

146117136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 146117136 is about 12087.8921239396. The cubic root of 146117136 is about 526.7045261110.

Adding to 146117136 its reverse (631711641), we get a palindrome (777828777).

The spelling of 146117136 in words is "one hundred forty-six million, one hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 79 88 93 113 124 132 158 176 186 226 237 248 264 316 339 341 372 452 474 496 528 632 678 682 744 869 904 948 1023 1243 1264 1356 1364 1488 1738 1808 1896 2046 2449 2486 2607 2712 2728 3476 3503 3729 3792 4092 4898 4972 5214 5424 5456 6952 7006 7347 7458 8184 8927 9796 9944 10428 10509 13904 14012 14694 14916 16368 17854 19592 19888 20856 21018 26781 26939 28024 29388 29832 35708 38533 39184 41712 42036 53562 53878 56048 58776 59664 71416 77066 80817 84072 98197 107124 107756 115599 117552 142832 154132 161634 168144 196394 214248 215512 231198 276737 294591 308264 323268 392788 428496 431024 462396 553474 589182 616528 646536 785576 830211 924792 1106948 1178364 1293072 1571152 1660422 1849584 2213896 2356728 3044107 3320844 4427792 4713456 6088214 6641688 9132321 12176428 13283376 18264642 24352856 36529284 48705712 73058568 146117136