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132146237300 = 225271167256147
BaseRepresentation
bin111101100010010000…
…1111000111101110100
3110122002111110101201012
41323010201320331310
54131113414043200
6140412424251352
712355464324650
oct1730441707564
9418074411635
10132146237300
1151052118a70
122173b610b58
13c5cc73122c
14657854da60
1536864b0a35
hex1ec4878f74

132146237300 has 144 divisors (see below), whose sum is σ = 362853109248. Its totient is φ = 40573526400.

The previous prime is 132146237269. The next prime is 132146237341. The reversal of 132146237300 is 3732641231.

It is a super-2 number, since 2×1321462373002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387827 + ... + 643973.

Almost surely, 2132146237300 is an apocalyptic number.

132146237300 is a gapful number since it is divisible by the number (10) 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 132146237300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181426554624).

132146237300 is an abundant number, since it is smaller than the sum of its proper divisors (230706871948).

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

132146237300 is a wasteful number, since it uses less digits than its factorization.

132146237300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256246 (or 256239 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

Adding to 132146237300 its reverse (3732641231), we get a palindrome (135878878531).

The spelling of 132146237300 in words is "one hundred thirty-two billion, one hundred forty-six million, two hundred thirty-seven thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 67 70 77 100 110 134 140 154 175 220 268 275 308 335 350 385 469 550 670 700 737 770 938 1100 1340 1474 1540 1675 1876 1925 2345 2948 3350 3685 3850 4690 5159 6700 7370 7700 9380 10318 11725 14740 18425 20636 23450 25795 36850 46900 51590 73700 103180 128975 256147 257950 512294 515900 1024588 1280735 1793029 2561470 2817617 3586058 5122940 5635234 6403675 7172116 8965145 11270468 12807350 14088085 17161849 17930290 19723319 25614700 28176170 34323698 35860580 39446638 44825725 56352340 68647396 70440425 78893276 85809245 89651450 98616595 120132943 140880850 171618490 179302900 188780339 197233190 240265886 281761700 343236980 377560678 394466380 429046225 480531772 493082975 600664715 755121356 858092450 943901695 986165950 1201329430 1321462373 1716184900 1887803390 1972331900 2402658860 2642924746 3003323575 3775606780 4719508475 5285849492 6006647150 6607311865 9439016950 12013294300 13214623730 18878033900 26429247460 33036559325 66073118650 132146237300