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133701252 = 223192973277
BaseRepresentation
bin1111111100000…
…01111010000100
3100022120201122020
413332001322010
5233211420002
621133403140
73212304366
oct776017204
9308521566
10133701252
116951a803
12389394b0
1321913389
1413a84d36
15bb102bc
hex7f81e84

133701252 has 96 divisors (see below), whose sum is σ = 345609600. Its totient is φ = 40061952.

The previous prime is 133701251. The next prime is 133701283. The reversal of 133701252 is 252107331.

It is not an unprimeable number, because it can be changed into a prime (133701251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482538 + ... + 482814.

It is an arithmetic number, because the mean of its divisors is an integer number (3600100).

Almost surely, 2133701252 is an apocalyptic number.

133701252 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 133701252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172804800).

133701252 is an abundant number, since it is smaller than the sum of its proper divisors (211908348).

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

133701252 is a wasteful number, since it uses less digits than its factorization.

133701252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 133701252 is about 11562.9257543236. The cubic root of 133701252 is about 511.3424226197.

Adding to 133701252 its reverse (252107331), we get a palindrome (385808583).

The spelling of 133701252 in words is "one hundred thirty-three million, seven hundred one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 73 76 87 114 116 146 174 219 228 277 292 348 438 551 554 831 876 1102 1108 1387 1653 1662 2117 2204 2774 3306 3324 4161 4234 5263 5548 6351 6612 8033 8322 8468 10526 12702 15789 16066 16644 20221 21052 24099 25404 31578 32132 40223 40442 48198 60663 63156 80446 80884 96396 120669 121326 152627 160892 241338 242652 305254 384199 457881 482676 586409 610508 768398 915762 1152597 1172818 1536796 1759227 1831524 2305194 2345636 3518454 4610388 7036908 11141771 22283542 33425313 44567084 66850626 133701252