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135777876 = 223131922411
BaseRepresentation
bin10000001011111…
…00111001010100
3100110111020020020
420011330321110
5234224343001
621250105140
73236043603
oct1005747124
9313436206
10135777876
116a708a23
123957b1b0
132218c650
1414065a3a
15bdc0736
hex817ce54

135777876 has 72 divisors (see below), whose sum is σ = 360237024. Its totient is φ = 39562560.

The previous prime is 135777779. The next prime is 135777881. The reversal of 135777876 is 678777531.

It is a happy number.

It is a super-2 number, since 2×1357778762 = 36871263222142752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 55111 + ... + 57521.

It is an arithmetic number, because the mean of its divisors is an integer number (5003292).

Almost surely, 2135777876 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 135777876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180118512).

135777876 is an abundant number, since it is smaller than the sum of its proper divisors (224459148).

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

135777876 is a wasteful number, since it uses less digits than its factorization.

135777876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2448 counting only the distinct ones).

The product of its digits is 1728720, while the sum is 51.

The square root of 135777876 is about 11652.3764099861. The cubic root of 135777876 is about 513.9761933389.

The spelling of 135777876 in words is "one hundred thirty-five million, seven hundred seventy-seven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2166 2411 2964 4332 4693 4822 7233 9386 9644 14079 14466 18772 28158 28932 31343 45809 56316 62686 91618 94029 125372 137427 183236 188058 274854 376116 549708 595517 870371 1191034 1740742 1786551 2382068 2611113 3481484 3573102 5222226 7146204 10444452 11314823 22629646 33944469 45259292 67888938 135777876