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135856962 = 232171133929
BaseRepresentation
bin10000001100100…
…00001101000010
3100110122020201100
420012100031002
5234234410322
621251515230
73236523303
oct1006201502
9313566640
10135856962
116a76238a
12395b8b16
13221b9647
14140867aa
15bdd8dac
hex8190342

135856962 has 48 divisors (see below), whose sum is σ = 314510040. Its totient is φ = 42233856.

The previous prime is 135856957. The next prime is 135856969. The reversal of 135856962 is 269658531.

135856962 is a `hidden beast` number, since 1 + 3 + 585 + 6 + 9 + 62 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69906321 + 65950641 = 8361^2 + 8121^2 .

It is a super-2 number, since 2×1358569622 = 36914228247738888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135856969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32614 + ... + 36542.

Almost surely, 2135856962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135856962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157255020).

135856962 is an abundant number, since it is smaller than the sum of its proper divisors (178653078).

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

135856962 is a wasteful number, since it uses less digits than its factorization.

135856962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4064 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 135856962 is about 11655.7694726689. The cubic root of 135856962 is about 514.0759651939.

The spelling of 135856962 in words is "one hundred thirty-five million, eight hundred fifty-six thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 306 339 678 1017 1921 2034 3842 3929 5763 7858 11526 11787 17289 23574 34578 35361 66793 70722 133586 200379 400758 443977 601137 887954 1202274 1331931 2663862 3995793 7547609 7991586 15095218 22642827 45285654 67928481 135856962