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133106160 = 243511127397
BaseRepresentation
bin1111110111100…
…00100111110000
3100021110111022210
413323300213300
5233033344120
621112532120
73204245415
oct773604760
9307414283
10133106160
11691536a0
12386b1040
1321765555
141396c10c
15ba43ce0
hex7ef09f0

133106160 has 160 divisors (see below), whose sum is σ = 454828032. Its totient is φ = 31933440.

The previous prime is 133106147. The next prime is 133106167. The reversal of 133106160 is 61601331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133106167) 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, 335082 + ... + 335478.

Almost surely, 2133106160 is an apocalyptic number.

133106160 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 133106160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227414016).

133106160 is an abundant number, since it is smaller than the sum of its proper divisors (321721872).

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

133106160 is a wasteful number, since it uses less digits than its factorization.

133106160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 133106160 is about 11537.1642963078. The cubic root of 133106160 is about 510.5826482115.

Adding to 133106160 its reverse (61601331), we get a palindrome (194707491).

The spelling of 133106160 in words is "one hundred thirty-three million, one hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 127 132 165 176 220 240 254 264 330 381 397 440 508 528 635 660 762 794 880 1016 1191 1270 1320 1397 1524 1588 1905 1985 2032 2382 2540 2640 2794 3048 3176 3810 3970 4191 4367 4764 5080 5588 5955 6096 6352 6985 7620 7940 8382 8734 9528 10160 11176 11910 13101 13970 15240 15880 16764 17468 19056 20955 21835 22352 23820 26202 27940 30480 31760 33528 34936 41910 43670 47640 50419 52404 55880 65505 67056 69872 83820 87340 95280 100838 104808 111760 131010 151257 167640 174680 201676 209616 252095 262020 302514 335280 349360 403352 504190 524040 554609 605028 756285 806704 1008380 1048080 1109218 1210056 1512570 1663827 2016760 2218436 2420112 2773045 3025140 3327654 4033520 4436872 5546090 6050280 6655308 8319135 8873744 11092180 12100560 13310616 16638270 22184360 26621232 33276540 44368720 66553080 133106160