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136641512 = 2371728443
BaseRepresentation
bin10000010010011…
…11101111101000
3100112010002220202
420021033233220
5234440012022
621320411332
73246301520
oct1011175750
9315102822
10136641512
1170148877
1239916b48
1322402787
141420c680
15bee1592
hex824fbe8

136641512 has 48 divisors (see below), whose sum is σ = 311076960. Its totient is φ = 55109376.

The previous prime is 136641511. The next prime is 136641517. The reversal of 136641512 is 215146631.

It is a happy number.

136641512 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 2×1366415122 = 37341805603292288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136641511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11963 + ... + 20405.

It is an arithmetic number, because the mean of its divisors is an integer number (6480770).

Almost surely, 2136641512 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 136641512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155538480).

136641512 is an abundant number, since it is smaller than the sum of its proper divisors (174435448).

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

136641512 is a wasteful number, since it uses less digits than its factorization.

136641512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8490 (or 8469 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 136641512 is about 11689.3760312516. The cubic root of 136641512 is about 515.0636324428.

The spelling of 136641512 in words is "one hundred thirty-six million, six hundred forty-one thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 476 578 952 1156 2023 2312 4046 8092 8443 16184 16886 33772 59101 67544 118202 143531 236404 287062 472808 574124 1004717 1148248 2009434 2440027 4018868 4880054 8037736 9760108 17080189 19520216 34160378 68320756 136641512