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135158140 = 225133141409
BaseRepresentation
bin10000000111001…
…01100101111100
3100102022202010001
420003211211330
5234100030030
621224524044
73230553025
oct1003454574
9312282101
10135158140
116a325347
1239320624
1322003540
1413d43c4c
15bcebcca
hex80e597c

135158140 has 96 divisors (see below), whose sum is σ = 324011520. Its totient is φ = 47001600.

The previous prime is 135158131. The next prime is 135158141. The reversal of 135158140 is 41851531.

It is a junction number, because it is equal to n+sod(n) for n = 135158099 and 135158108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135158141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330256 + ... + 330664.

It is an arithmetic number, because the mean of its divisors is an integer number (3375120).

Almost surely, 2135158140 is an apocalyptic number.

135158140 is a gapful number since it is divisible by the number (10) 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 135158140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162005760).

135158140 is an abundant number, since it is smaller than the sum of its proper divisors (188853380).

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

135158140 is a wasteful number, since it uses less digits than its factorization.

135158140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 135158140 is about 11625.7533089258. The cubic root of 135158140 is about 513.1930136889.

The spelling of 135158140 in words is "one hundred thirty-five million, one hundred fifty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 41 52 62 65 82 124 130 155 164 205 260 310 403 409 410 533 620 806 818 820 1066 1271 1612 1636 2015 2045 2132 2542 2665 4030 4090 5084 5317 5330 6355 8060 8180 10634 10660 12679 12710 16523 16769 21268 25358 25420 26585 33046 33538 50716 53170 63395 66092 67076 82615 83845 106340 126790 164827 165230 167690 217997 253580 329654 330460 335380 435994 519839 659308 824135 871988 1039678 1089985 1648270 2079356 2179970 2599195 3296540 4359940 5198390 6757907 10396780 13515814 27031628 33789535 67579070 135158140