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132271152 = 243131737337
BaseRepresentation
bin1111110001001…
…00110000110000
3100012220001220120
413320210300300
5232330134102
621043010240
73164200116
oct770446060
9305801816
10132271152
1168733302
1238369980
1321532470
14137d1ab6
15b92b6bc
hex7e24c30

132271152 has 160 divisors (see below), whose sum is σ = 401349312. Its totient is φ = 37158912.

The previous prime is 132271151. The next prime is 132271159. The reversal of 132271152 is 251172231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132271151) 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, 392328 + ... + 392664.

Almost surely, 2132271152 is an apocalyptic number.

132271152 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 132271152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200674656).

132271152 is an abundant number, since it is smaller than the sum of its proper divisors (269078160).

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

132271152 is a wasteful number, since it uses less digits than its factorization.

132271152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 132271152 is about 11500.9196154047. The cubic root of 132271152 is about 509.5127372234.

The spelling of 132271152 in words is "one hundred thirty-two million, two hundred seventy-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 37 39 48 51 52 68 74 78 102 104 111 136 148 156 204 208 221 222 272 296 312 337 408 442 444 481 592 624 629 663 674 816 884 888 962 1011 1258 1326 1348 1443 1768 1776 1887 1924 2022 2516 2652 2696 2886 3536 3774 3848 4044 4381 5032 5304 5392 5729 5772 7548 7696 8088 8177 8762 10064 10608 11458 11544 12469 13143 15096 16176 16354 17187 17524 22916 23088 24531 24938 26286 30192 32708 34374 35048 37407 45832 49062 49876 52572 65416 68748 70096 74477 74814 91664 98124 99752 105144 130832 137496 148954 149628 162097 196248 199504 210288 211973 223431 274992 297908 299256 324194 392496 423946 446862 486291 595816 598512 635919 648388 847892 893724 972582 1191632 1271838 1296776 1695784 1787448 1945164 2543676 2593552 2755649 3391568 3574896 3890328 5087352 5511298 7780656 8266947 10174704 11022596 16533894 22045192 33067788 44090384 66135576 132271152