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135452928 = 2831313567
BaseRepresentation
bin10000001001011…
…01100100000000
3100102212201111010
420010231210000
5234133443203
621235120520
73233221332
oct1004554400
9312781433
10135452928
116a506876
1239443140
13220a7780
1413dbd452
15bd59303
hex812d900

135452928 has 72 divisors (see below), whose sum is σ = 388261888. Its totient is φ = 41674752.

The previous prime is 135452921. The next prime is 135452953. The reversal of 135452928 is 829254531.

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 (135452921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3201 + ... + 16767.

Almost surely, 2135452928 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 135452928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194130944).

135452928 is an abundant number, since it is smaller than the sum of its proper divisors (252808960).

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

135452928 is a wasteful number, since it uses less digits than its factorization.

135452928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13599 (or 13585 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 135452928 is about 11638.4246356627. The cubic root of 135452928 is about 513.5658443334.

The spelling of 135452928 in words is "one hundred thirty-five million, four hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 13567 27134 40701 54268 81402 108536 162804 176371 217072 325608 352742 434144 529113 651216 705484 868288 1058226 1302432 1410968 1736576 2116452 2604864 2821936 3473152 4232904 5209728 5643872 8465808 10419456 11287744 16931616 22575488 33863232 45150976 67726464 135452928