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135329550 = 23527197131
BaseRepresentation
bin10000001000011…
…11011100001110
3100102122110020120
420010033130032
5234121021200
621232325410
73232165536
oct1004173416
9312573216
10135329550
116a432104
12393a3866
1322063575
1413d8a4c6
15bd329a0
hex810f70e

135329550 has 96 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 34944000.

The previous prime is 135329531. The next prime is 135329569. The reversal of 135329550 is 55923531.

It is an interprime number because it is at equal distance from previous prime (135329531) and next prime (135329569).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032985 + ... + 1033115.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2135329550 is an apocalyptic number.

135329550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135329550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

135329550 is an abundant number, since it is smaller than the sum of its proper divisors (211148274).

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

135329550 is a wasteful number, since it uses less digits than its factorization.

135329550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 135329550 is about 11633.1229684896. The cubic root of 135329550 is about 513.4098689317.

It can be divided in two parts, 1353 and 29550, that added together give a palindrome (30903).

The spelling of 135329550 in words is "one hundred thirty-five million, three hundred twenty-nine thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 97 131 142 150 194 213 262 291 355 393 426 485 582 655 710 786 970 1065 1310 1455 1775 1965 2130 2425 2910 3275 3550 3930 4850 5325 6550 6887 7275 9301 9825 10650 12707 13774 14550 18602 19650 20661 25414 27903 34435 38121 41322 46505 55806 63535 68870 76242 93010 103305 127070 139515 172175 190605 206610 232525 279030 317675 344350 381210 465050 516525 635350 697575 902197 953025 1033050 1395150 1804394 1906050 2706591 4510985 5413182 9021970 13532955 22554925 27065910 45109850 67664775 135329550