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136134570 = 235111322441
BaseRepresentation
bin10000001110100…
…11111110101010
3100111011100112010
420013103332222
5234322301240
621301500350
73242060535
oct1007237652
9314140463
10136134570
116a931a10
12397116b6
1322285b00
1414119a1c
15be41280
hex81d3faa

136134570 has 96 divisors (see below), whose sum is σ = 386109504. Its totient is φ = 30451200.

The previous prime is 136134541. The next prime is 136134577. The reversal of 136134570 is 75431631.

It is a super-3 number, since 3×1361345703 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (136134577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54550 + ... + 56990.

It is an arithmetic number, because the mean of its divisors is an integer number (4021974).

Almost surely, 2136134570 is an apocalyptic number.

136134570 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 136134570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193054752).

136134570 is an abundant number, since it is smaller than the sum of its proper divisors (249974934).

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

136134570 is a wasteful number, since it uses less digits than its factorization.

136134570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 136134570 is about 11667.6720043032. The cubic root of 136134570 is about 514.4258785728.

The spelling of 136134570 in words is "one hundred thirty-six million, one hundred thirty-four thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 169 195 286 330 338 390 429 507 715 845 858 1014 1430 1690 1859 2145 2441 2535 3718 4290 4882 5070 5577 7323 9295 11154 12205 14646 18590 24410 26851 27885 31733 36615 53702 55770 63466 73230 80553 95199 134255 158665 161106 190398 268510 317330 349063 402765 412529 475995 698126 805530 825058 951990 1047189 1237587 1745315 2062645 2094378 2475174 3490630 4125290 4537819 5235945 6187935 9075638 10471890 12375870 13613457 22689095 27226914 45378190 68067285 136134570