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136637640 = 23325379549
BaseRepresentation
bin10000010010011…
…10110011001000
3100112002220121100
420021032303020
5234434401030
621320341400
73246254316
oct1011166310
9315086540
10136637640
1170145977
1239914860
1322400a99
141420b0b6
15bee0360
hex824ecc8

136637640 has 48 divisors (see below), whose sum is σ = 444073500. Its totient is φ = 36436608.

The previous prime is 136637597. The next prime is 136637651. The reversal of 136637640 is 46736631.

It is a happy number.

136637640 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 3 + 7 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126023076 + 10614564 = 11226^2 + 3258^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136637595 and 136637604.

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 11 ways as a sum of consecutive naturals, for example, 189415 + ... + 190134.

Almost surely, 2136637640 is an apocalyptic number.

136637640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136637640 is an abundant number, since it is smaller than the sum of its proper divisors (307435860).

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

136637640 is a wasteful number, since it uses less digits than its factorization.

136637640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379566 (or 379559 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 136637640 is about 11689.2104096042. The cubic root of 136637640 is about 515.0587672907.

The spelling of 136637640 in words is "one hundred thirty-six million, six hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 379549 759098 1138647 1518196 1897745 2277294 3036392 3415941 3795490 4554588 5693235 6831882 7590980 9109176 11386470 13663764 15181960 17079705 22772940 27327528 34159410 45545880 68318820 136637640