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136261376 = 283731427
BaseRepresentation
bin10000001111100…
…10111100000000
3100111101210110122
420013302330000
5234340331001
621304315412
73243126326
oct1007627400
9314353418
10136261376
116aa09209
1239772b68
13222cb744
141414dd16
15be68b1b
hex81f2f00

136261376 has 36 divisors (see below), whose sum is σ = 272910792. Its totient is φ = 67900416.

The previous prime is 136261339. The next prime is 136261379. The reversal of 136261376 is 673162631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136261379) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 94775 + ... + 96201.

Almost surely, 2136261376 is an apocalyptic number.

136261376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136261376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136455396).

136261376 is an abundant number, since it is smaller than the sum of its proper divisors (136649416).

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

136261376 is an equidigital number, since it uses as much as digits as its factorization.

136261376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1802 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 136261376 is about 11673.1048140587. The cubic root of 136261376 is about 514.5855540183.

The spelling of 136261376 in words is "one hundred thirty-six million, two hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 373 746 1427 1492 2854 2984 5708 5968 11416 11936 22832 23872 45664 47744 91328 95488 182656 365312 532271 1064542 2129084 4258168 8516336 17032672 34065344 68130688 136261376