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132541552 = 241113531093
BaseRepresentation
bin1111110011001…
…10110001110000
3100020101210211101
413321212301300
5232412312202
621052454144
73166404343
oct771466160
9306353741
10132541552
11688a8480
123847a354
13215c8570
141386245a
15b981887
hex7e66c70

132541552 has 80 divisors (see below), whose sum is σ = 307667808. Its totient is φ = 54512640.

The previous prime is 132541543. The next prime is 132541579. The reversal of 132541552 is 255145231.

It is a self number, because there is not a number n which added to its sum of digits gives 132541552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120718 + ... + 121810.

Almost surely, 2132541552 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 132541552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153833904).

132541552 is an abundant number, since it is smaller than the sum of its proper divisors (175126256).

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

132541552 is a wasteful number, since it uses less digits than its factorization.

132541552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1172 counting only the distinct ones).

The product of its digits is 6000, while the sum is 28.

The square root of 132541552 is about 11512.6691952822. The cubic root of 132541552 is about 509.8596974048.

Adding to 132541552 its reverse (255145231), we get a palindrome (387686783).

It can be divided in two parts, 1325 and 41552, that multiplied together give a square (55056400 = 74202).

The spelling of 132541552 in words is "one hundred thirty-two million, five hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 53 88 104 106 143 176 208 212 286 424 572 583 689 848 1093 1144 1166 1378 2186 2288 2332 2756 4372 4664 5512 7579 8744 9328 11024 12023 14209 15158 17488 24046 28418 30316 48092 56836 57929 60632 96184 113672 115858 121264 156299 192368 227344 231716 312598 463432 625196 637219 753077 926864 1250392 1274438 1506154 2500784 2548876 3012308 5097752 6024616 8283847 10195504 12049232 16567694 33135388 66270776 132541552