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135932328 = 233271731559
BaseRepresentation
bin10000001101000…
…10100110101000
3100110210002002200
420012202212220
5234244313303
621253300200
73240256110
oct1006424650
9313702080
10135932328
116a803a74
1239634660
1322214a3c
14140a6040
15be013a3
hex81a29a8

135932328 has 96 divisors (see below), whose sum is σ = 423446400. Its totient is φ = 38588544.

The previous prime is 135932311. The next prime is 135932353. The reversal of 135932328 is 823239531.

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

It is a junction number, because it is equal to n+sod(n) for n = 135932292 and 135932301.

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, 86413 + ... + 87971.

It is an arithmetic number, because the mean of its divisors is an integer number (4410900).

Almost surely, 2135932328 is an apocalyptic number.

135932328 is a gapful number since it is divisible by the number (18) 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 135932328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211723200).

135932328 is an abundant number, since it is smaller than the sum of its proper divisors (287514072).

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

135932328 is a wasteful number, since it uses less digits than its factorization.

135932328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1744 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 135932328 is about 11659.0020156101. The cubic root of 135932328 is about 514.1710080157.

The spelling of 135932328 in words is "one hundred thirty-five million, nine hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 173 252 346 504 519 692 1038 1211 1384 1557 1559 2076 2422 3114 3118 3633 4152 4677 4844 6228 6236 7266 9354 9688 10899 10913 12456 12472 14031 14532 18708 21798 21826 28062 29064 32739 37416 43596 43652 56124 65478 87192 87304 98217 112248 130956 196434 261912 269707 392868 539414 785736 809121 1078828 1618242 1887949 2157656 2427363 3236484 3775898 4854726 5663847 6472968 7551796 9709452 11327694 15103592 16991541 19418904 22655388 33983082 45310776 67966164 135932328