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136134540 = 22335252101
BaseRepresentation
bin10000001110100…
…11111110001100
3100111011100111000
420013103332030
5234322301130
621301500300
73242060463
oct1007237614
9314140430
10136134540
116a931993
1239711690
1322285aa9
14141199da
15be41260
hex81d3f8c

136134540 has 48 divisors (see below), whose sum is σ = 423531360. Its totient is φ = 36302400.

The previous prime is 136134533. The next prime is 136134541. The reversal of 136134540 is 45431631.

136134540 is a `hidden beast` number, since 1 + 3 + 613 + 4 + 5 + 40 = 666.

136134540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1361345402 = 37065225962023200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (136134541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125511 + ... + 126590.

It is an arithmetic number, because the mean of its divisors is an integer number (8823570).

Almost surely, 2136134540 is an apocalyptic number.

136134540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136134540 is an abundant number, since it is smaller than the sum of its proper divisors (287396820).

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

136134540 is a wasteful number, since it uses less digits than its factorization.

136134540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252119 (or 252111 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 136134540 is about 11667.6707186996. The cubic root of 136134540 is about 514.4258407848.

The spelling of 136134540 in words is "one hundred thirty-six million, one hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 252101 504202 756303 1008404 1260505 1512606 2268909 2521010 3025212 3781515 4537818 5042020 6806727 7563030 9075636 11344545 13613454 15126060 22689090 27226908 34033635 45378180 68067270 136134540