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135458372 = 227191012521
BaseRepresentation
bin10000001001011…
…10111001000100
3100102212222221202
420010232321010
5234134131442
621235202032
73233243240
oct1004567104
9312788852
10135458372
116a50a975
1239446318
13220aa0aa
1413dc1420
15bd5ac32
hex812ee44

135458372 has 48 divisors (see below), whose sum is σ = 288113280. Its totient is φ = 54432000.

The previous prime is 135458359. The next prime is 135458399. The reversal of 135458372 is 273854531.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52472 + ... + 54992.

It is an arithmetic number, because the mean of its divisors is an integer number (6002360).

Almost surely, 2135458372 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 135458372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144056640).

135458372 is an abundant number, since it is smaller than the sum of its proper divisors (152654908).

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

135458372 is a wasteful number, since it uses less digits than its factorization.

135458372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2650 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 135458372 is about 11638.6585137635. The cubic root of 135458372 is about 513.5727244972.

The spelling of 135458372 in words is "one hundred thirty-five million, four hundred fifty-eight thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 19 28 38 76 101 133 202 266 404 532 707 1414 1919 2521 2828 3838 5042 7676 10084 13433 17647 26866 35294 47899 53732 70588 95798 191596 254621 335293 509242 670586 1018484 1341172 1782347 3564694 4837799 7129388 9675598 19351196 33864593 67729186 135458372