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135880812 = 223231313389
BaseRepresentation
bin10000001100101…
…10000001101100
3100110200110102200
420012112001230
5234241141222
621252221500
73236652654
oct1006260154
9313613380
10135880812
116a7792a1
123960a890
13221c7462
1414091364
15bde0eac
hex819606c

135880812 has 72 divisors (see below), whose sum is σ = 356603520. Its totient is φ = 43580160.

The previous prime is 135880763. The next prime is 135880841. The reversal of 135880812 is 218088531.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349114 + ... + 349502.

Almost surely, 2135880812 is an apocalyptic number.

135880812 is a gapful number since it is divisible by the number (12) 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 135880812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178301760).

135880812 is an abundant number, since it is smaller than the sum of its proper divisors (220722708).

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

135880812 is a wasteful number, since it uses less digits than its factorization.

135880812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 135880812 is about 11656.7925262484. The cubic root of 135880812 is about 514.1060458371.

The spelling of 135880812 in words is "one hundred thirty-five million, eight hundred eighty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 313 372 389 558 626 778 939 1116 1167 1252 1556 1878 2334 2817 3501 3756 4668 5634 7002 9703 11268 12059 14004 19406 24118 29109 36177 38812 48236 58218 72354 87327 108531 116436 121757 144708 174654 217062 243514 349308 365271 434124 487028 730542 1095813 1461084 2191626 3774467 4383252 7548934 11323401 15097868 22646802 33970203 45293604 67940406 135880812