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132133452 = 2231121753101
BaseRepresentation
bin1111110000000…
…11001001001100
3100012122002000120
413320003021030
5232311232302
621040024540
73163054503
oct770031114
9305562016
10132133452
1168649900
1238302150
13214b4899
141379783a
15b9009bc
hex7e0324c

132133452 has 144 divisors (see below), whose sum is σ = 369212256. Its totient is φ = 36608000.

The previous prime is 132133451. The next prime is 132133471. The reversal of 132133452 is 254331231.

It is not an unprimeable number, because it can be changed into a prime (132133451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1308202 + ... + 1308302.

It is an arithmetic number, because the mean of its divisors is an integer number (2563974).

Almost surely, 2132133452 is an apocalyptic number.

132133452 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 132133452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184606128).

132133452 is an abundant number, since it is smaller than the sum of its proper divisors (237078804).

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

132133452 is a wasteful number, since it uses less digits than its factorization.

132133452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 132133452 is about 11494.9315787437. The cubic root of 132133452 is about 509.3358675547.

Adding to 132133452 its reverse (254331231), we get a palindrome (386464683).

The spelling of 132133452 in words is "one hundred thirty-two million, one hundred thirty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 53 66 68 101 102 106 121 132 159 187 202 204 212 242 303 318 363 374 404 484 561 583 606 636 726 748 901 1111 1122 1166 1212 1452 1717 1749 1802 2057 2222 2244 2332 2703 3333 3434 3498 3604 4114 4444 5151 5353 5406 6171 6413 6666 6868 6996 8228 9911 10302 10706 10812 12221 12342 12826 13332 16059 18887 19239 19822 20604 21412 24442 24684 25652 29733 32118 36663 37774 38478 39644 48884 56661 58883 59466 64236 73326 75548 76956 91001 109021 113322 117766 118932 146652 176649 182002 207757 218042 226644 235532 273003 327063 353298 364004 415514 436084 546006 623271 647713 654126 706596 831028 1001011 1092012 1246542 1295426 1308252 1943139 2002022 2493084 2590852 3003033 3886278 4004044 6006066 7772556 11011121 12012132 22022242 33033363 44044484 66066726 132133452