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136723769 = 7213375801
BaseRepresentation
bin10000010011000…
…11110100111001
3100112021021202022
420021203310321
5240000130034
621322244225
73250063400
oct1011436471
9315237668
10136723769
11701a4656
1239956675
1322431050
1414230637
15c00ab2e
hex8263d39

136723769 has 24 divisors (see below), whose sum is σ = 175939848. Its totient is φ = 105235200.

The previous prime is 136723739. The next prime is 136723771. The reversal of 136723769 is 967327631.

It can be written as a sum of positive squares in 4 ways, for example, as 63792169 + 72931600 = 7987^2 + 8540^2 .

It is not a de Polignac number, because 136723769 - 216 = 136658233 is a prime.

It is a super-2 number, since 2×1367237692 = 37386778019130722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136723739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20669 + ... + 26469.

It is an arithmetic number, because the mean of its divisors is an integer number (7330827).

Almost surely, 2136723769 is an apocalyptic number.

It is an amenable number.

136723769 is a deficient number, since it is larger than the sum of its proper divisors (39216079).

136723769 is a wasteful number, since it uses less digits than its factorization.

136723769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5858 counting only the distinct ones).

The product of its digits is 285768, while the sum is 44.

The square root of 136723769 is about 11692.8939531666. The cubic root of 136723769 is about 515.1669663169.

The spelling of 136723769 in words is "one hundred thirty-six million, seven hundred twenty-three thousand, seven hundred sixty-nine".

Divisors: 1 7 13 37 49 91 259 481 637 1813 3367 5801 23569 40607 75413 214637 284249 527891 1502459 2790281 3695237 10517213 19531967 136723769