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135781932 = 2231113671181
BaseRepresentation
bin10000001011111…
…01111000101100
3100110111102210110
420011331320230
5234230010212
621250140020
73236061456
oct1005757054
9313442713
10135781932
116a710a80
1239581610
1322191450
14140672d6
15bdc1a3c
hex817de2c

135781932 has 96 divisors (see below), whose sum is σ = 378088704. Its totient is φ = 37382400.

The previous prime is 135781927. The next prime is 135781939. The reversal of 135781932 is 239187531.

135781932 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 (39).

It is not an unprimeable number, because it can be changed into a prime (135781939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114382 + ... + 115562.

It is an arithmetic number, because the mean of its divisors is an integer number (3938424).

Almost surely, 2135781932 is an apocalyptic number.

135781932 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 135781932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189044352).

135781932 is an abundant number, since it is smaller than the sum of its proper divisors (242306772).

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

135781932 is a wasteful number, since it uses less digits than its factorization.

135781932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1277 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 135781932 is about 11652.5504504379. The cubic root of 135781932 is about 513.9813111748.

The spelling of 135781932 in words is "one hundred thirty-five million, seven hundred eighty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 67 78 132 134 143 156 201 268 286 402 429 572 737 804 858 871 1181 1474 1716 1742 2211 2362 2613 2948 3484 3543 4422 4724 5226 7086 8844 9581 10452 12991 14172 15353 19162 25982 28743 30706 38324 38973 46059 51964 57486 61412 77946 79127 92118 114972 155892 158254 168883 184236 237381 316508 337766 474762 506649 675532 870397 949524 1013298 1028651 1740794 2026596 2057302 2611191 3085953 3481588 4114604 5222382 6171906 10444764 11315161 12343812 22630322 33945483 45260644 67890966 135781932