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135772056 = 23327269389
BaseRepresentation
bin10000001011110…
…11011110011000
3100110110221020200
420011323132120
5234224201211
621250022200
73236020620
oct1005733630
9313427220
10135772056
116a704612
1239577960
1322189ac4
1414063880
15bdbdb56
hex817b798

135772056 has 48 divisors (see below), whose sum is σ = 420248400. Its totient is φ = 38791872.

The previous prime is 135772019. The next prime is 135772057. The reversal of 135772056 is 650277531.

135772056 is a `hidden beast` number, since 13 + 577 + 20 + 56 = 666.

135772056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135772056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135772057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134191 + ... + 135198.

It is an arithmetic number, because the mean of its divisors is an integer number (8755175).

Almost surely, 2135772056 is an apocalyptic number.

It is an amenable number.

135772056 is an abundant number, since it is smaller than the sum of its proper divisors (284476344).

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

135772056 is a wasteful number, since it uses less digits than its factorization.

135772056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269408 (or 269401 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 135772056 is about 11652.1266728439. The cubic root of 135772056 is about 513.9688495205.

The spelling of 135772056 in words is "one hundred thirty-five million, seven hundred seventy-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 269389 538778 808167 1077556 1616334 1885723 2155112 2424501 3232668 3771446 4849002 5657169 6465336 7542892 9698004 11314338 15085784 16971507 19396008 22628676 33943014 45257352 67886028 135772056