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134133732 = 22343767167
BaseRepresentation
bin1111111111010…
…11011111100100
3100100101200220000
413333223133210
5233314234412
621150541300
73216055305
oct777533744
9310350800
10134133732
1169795727
1238b07830
1321a35195
1413b587ac
15bb984dc
hex7feb7e4

134133732 has 120 divisors (see below), whose sum is σ = 367692864. Its totient is φ = 42596928.

The previous prime is 134133721. The next prime is 134133739. The reversal of 134133732 is 237331431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134133696 and 134133705.

It is not an unprimeable number, because it can be changed into a prime (134133739) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 803113 + ... + 803279.

Almost surely, 2134133732 is an apocalyptic number.

134133732 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 134133732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183846432).

134133732 is an abundant number, since it is smaller than the sum of its proper divisors (233559132).

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

134133732 is a wasteful number, since it uses less digits than its factorization.

134133732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 134133732 is about 11581.6118049259. The cubic root of 134133732 is about 511.8931712746.

The spelling of 134133732 in words is "one hundred thirty-four million, one hundred thirty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 67 74 81 108 111 134 148 162 167 201 222 268 324 333 334 402 444 501 603 666 668 804 999 1002 1206 1332 1503 1809 1998 2004 2412 2479 2997 3006 3618 3996 4509 4958 5427 5994 6012 6179 7236 7437 9018 9916 10854 11189 11988 12358 13527 14874 18036 18537 21708 22311 22378 24716 27054 29748 33567 37074 44622 44756 54108 55611 66933 67134 74148 89244 100701 111222 133866 134268 166833 200799 201402 222444 267732 302103 333666 401598 402804 413993 500499 604206 667332 803196 827986 906309 1000998 1208412 1241979 1655972 1812618 2001996 2483958 3625236 3725937 4967916 7451874 11177811 14903748 22355622 33533433 44711244 67066866 134133732