Search a number
-
+
135069552 = 2433833767
BaseRepresentation
bin10000000110011…
…11111101110000
3100102011020121000
420003033331300
5234034211202
621223002000
73230033532
oct1003177560
9312136530
10135069552
116a274832
1239299300
1321ca2117
1413d1d852
15bcd091c
hex80cff70

135069552 has 80 divisors (see below), whose sum is σ = 392474880. Its totient is φ = 44468928.

The previous prime is 135069551. The next prime is 135069553. The reversal of 135069552 is 255960531.

135069552 is a `hidden beast` number, since 13 + 506 + 95 + 52 = 666.

135069552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135069551) and next prime (135069553).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135069551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33973 + ... + 37739.

It is an arithmetic number, because the mean of its divisors is an integer number (4905936).

Almost surely, 2135069552 is an apocalyptic number.

135069552 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 135069552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196237440).

135069552 is an abundant number, since it is smaller than the sum of its proper divisors (257405328).

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

135069552 is a wasteful number, since it uses less digits than its factorization.

135069552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 135069552 is about 11621.9426947477. The cubic root of 135069552 is about 513.0808668388.

The spelling of 135069552 in words is "one hundred thirty-five million, sixty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 996 1328 1494 1992 2241 2988 3767 3984 4482 5976 7534 8964 11301 11952 15068 17928 22602 30136 33903 35856 45204 60272 67806 90408 101709 135612 180816 203418 271224 312661 406836 542448 625322 813672 937983 1250644 1627344 1875966 2501288 2813949 3751932 5002576 5627898 7503864 8441847 11255796 15007728 16883694 22511592 33767388 45023184 67534776 135069552