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135691464 = 233192931331
BaseRepresentation
bin10000001011001…
…11110011001000
3100110022211200210
420011213303020
5234214111324
621244201120
73235233636
oct1005476310
9313284623
10135691464
116a65a007
12395391a0
132215c20c
1414042356
15bda4d29
hex8167cc8

135691464 has 128 divisors (see below), whose sum is σ = 382464000. Its totient is φ = 39916800.

The previous prime is 135691463. The next prime is 135691519. The reversal of 135691464 is 464196531.

It is not an unprimeable number, because it can be changed into a prime (135691463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409779 + ... + 410109.

It is an arithmetic number, because the mean of its divisors is an integer number (2988000).

Almost surely, 2135691464 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 135691464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191232000).

135691464 is an abundant number, since it is smaller than the sum of its proper divisors (246772536).

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

135691464 is a wasteful number, since it uses less digits than its factorization.

135691464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 135691464 is about 11648.6679066750. The cubic root of 135691464 is about 513.8671349822.

The spelling of 135691464 in words is "one hundred thirty-five million, six hundred ninety-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 29 31 38 57 58 62 76 87 93 114 116 124 152 174 186 228 232 248 331 348 372 456 551 589 662 696 744 899 993 1102 1178 1324 1653 1767 1798 1986 2204 2356 2648 2697 3306 3534 3596 3972 4408 4712 5394 6289 6612 7068 7192 7944 9599 10261 10788 12578 13224 14136 17081 18867 19198 20522 21576 25156 28797 30783 34162 37734 38396 41044 50312 51243 57594 61566 68324 75468 76792 82088 102486 115188 123132 136648 150936 182381 194959 204972 230376 246264 297569 364762 389918 409944 547143 584877 595138 729524 779836 892707 1094286 1169754 1190276 1459048 1559672 1785414 2188572 2339508 2380552 3570828 4377144 4679016 5653811 7141656 11307622 16961433 22615244 33922866 45230488 67845732 135691464