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132601152 = 26319163223
BaseRepresentation
bin1111110011101…
…01010101000000
3100020111211120210
413321311111000
5232421214102
621054034120
73200043165
oct771652500
9306454523
10132601152
1168939232
12384a8940
1321619728
141387a06c
15b99436c
hex7e75540

132601152 has 112 divisors (see below), whose sum is σ = 373237760. Its totient is φ = 41430528.

The previous prime is 132601151. The next prime is 132601159. The reversal of 132601152 is 251106231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132601151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594513 + ... + 594735.

It is an arithmetic number, because the mean of its divisors is an integer number (3332480).

Almost surely, 2132601152 is an apocalyptic number.

132601152 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 132601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186618880).

132601152 is an abundant number, since it is smaller than the sum of its proper divisors (240636608).

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

132601152 is a wasteful number, since it uses less digits than its factorization.

132601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 132601152 is about 11515.2573570893. The cubic root of 132601152 is about 509.9361088744.

Adding to 132601152 its reverse (251106231), we get a palindrome (383707383).

The spelling of 132601152 in words is "one hundred thirty-two million, six hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 163 192 223 228 304 326 446 456 489 608 652 669 892 912 978 1216 1304 1338 1784 1824 1956 2608 2676 3097 3568 3648 3912 4237 5216 5352 6194 7136 7824 8474 9291 10432 10704 12388 12711 14272 15648 16948 18582 21408 24776 25422 31296 33896 36349 37164 42816 49552 50844 67792 72698 74328 99104 101688 109047 135584 145396 148656 198208 203376 218094 271168 290792 297312 406752 436188 581584 594624 690631 813504 872376 1163168 1381262 1744752 2071893 2326336 2762524 3489504 4143786 5525048 6979008 8287572 11050096 16575144 22100192 33150288 44200384 66300576 132601152