Search a number
-
+
135013725 = 32527117793
BaseRepresentation
bin10000000110000…
…10010101011101
3100102001102000100
420003002111131
5234030414400
621221451313
73226412010
oct1003022535
9312042010
10135013725
116a2368a0
1239270b39
1321c828a2
1413d07377
15bcbe100
hex80c255d

135013725 has 72 divisors (see below), whose sum is σ = 301534272. Its totient is φ = 56102400.

The previous prime is 135013717. The next prime is 135013733. The reversal of 135013725 is 527310531.

It is an interprime number because it is at equal distance from previous prime (135013717) and next prime (135013733).

It is not a de Polignac number, because 135013725 - 23 = 135013717 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13429 + ... + 21221.

It is an arithmetic number, because the mean of its divisors is an integer number (4187976).

Almost surely, 2135013725 is an apocalyptic number.

135013725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135013725 is an abundant number, since it is smaller than the sum of its proper divisors (166520547).

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

135013725 is a wasteful number, since it uses less digits than its factorization.

135013725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7827 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135013725 is about 11619.5406535715. The cubic root of 135013725 is about 513.0101681694.

The spelling of 135013725 in words is "one hundred thirty-five million, thirteen thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 7793 17325 23379 38965 54551 70137 85723 116895 163653 194825 257169 272755 350685 428615 490959 584475 600061 771507 818265 1285845 1363775 1753425 1800183 2143075 2454795 3000305 3857535 4091325 5400549 6429225 9000915 12273975 15001525 19287675 27002745 45004575 135013725