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132450136 = 2373134779
BaseRepresentation
bin1111110010100…
…00011101011000
3100020020011102121
413321100131120
5232401401021
621050511024
73165544000
oct771203530
9306204377
10132450136
1168845825
1238435474
1321595a80
141383b000
15b964741
hex7e50758

132450136 has 128 divisors (see below), whose sum is σ = 322560000. Its totient is φ = 50633856.

The previous prime is 132450133. The next prime is 132450137. The reversal of 132450136 is 631054231.

It is a self number, because there is not a number n which added to its sum of digits gives 132450136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132450133) 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, 1676545 + ... + 1676623.

It is an arithmetic number, because the mean of its divisors is an integer number (2520000).

Almost surely, 2132450136 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 132450136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280000).

132450136 is an abundant number, since it is smaller than the sum of its proper divisors (190109864).

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

132450136 is a wasteful number, since it uses less digits than its factorization.

132450136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 132450136 is about 11508.6982756522. The cubic root of 132450136 is about 509.7424510187.

The spelling of 132450136 in words is "one hundred thirty-two million, four hundred fifty thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 47 49 52 56 79 91 94 98 104 158 182 188 196 316 329 343 364 376 392 553 611 632 637 658 686 728 1027 1106 1222 1274 1316 1372 2054 2212 2303 2444 2548 2632 2744 3713 3871 4108 4277 4424 4459 4606 4888 5096 7189 7426 7742 8216 8554 8918 9212 14378 14852 15484 16121 17108 17836 18424 25991 27097 28756 29704 29939 30968 32242 34216 35672 48269 50323 51982 54194 57512 59878 64484 96538 100646 103964 108388 119756 128968 181937 193076 201292 207928 209573 216776 239512 337883 352261 363874 386152 402584 419146 675766 704522 727748 838292 1273559 1351532 1409044 1455496 1676584 2365181 2547118 2703064 2818088 4730362 5094236 9460724 10188472 16556267 18921448 33112534 66225068 132450136