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134021952 = 2634103251
BaseRepresentation
bin1111111110100…
…00001101000000
3100100012000120000
413333100031000
5233302200302
621144320000
73215111361
oct777201500
9310160500
10134021952
1169719749
1238a73000
13219c633c
1413b29b68
15bb7531c
hex7fd0340

134021952 has 140 divisors (see below), whose sum is σ = 402738336. Its totient is φ = 44064000.

The previous prime is 134021947. The next prime is 134021969. The reversal of 134021952 is 259120431.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 533827 + ... + 534077.

Almost surely, 2134021952 is an apocalyptic number.

134021952 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 134021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201369168).

134021952 is an abundant number, since it is smaller than the sum of its proper divisors (268716384).

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

134021952 is a wasteful number, since it uses less digits than its factorization.

134021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 134021952 is about 11576.7850459443. The cubic root of 134021952 is about 511.7509368052.

The spelling of 134021952 in words is "one hundred thirty-four million, twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 103 108 144 162 192 206 216 251 288 309 324 412 432 502 576 618 648 753 824 864 927 1004 1236 1296 1506 1648 1728 1854 2008 2259 2472 2592 2781 3012 3296 3708 4016 4518 4944 5184 5562 6024 6592 6777 7416 8032 8343 9036 9888 11124 12048 13554 14832 16064 16686 18072 19776 20331 22248 24096 25853 27108 29664 33372 36144 40662 44496 48192 51706 54216 59328 66744 72288 77559 81324 88992 103412 108432 133488 144576 155118 162648 177984 206824 216864 232677 266976 310236 325296 413648 433728 465354 533952 620472 650592 698031 827296 930708 1240944 1301184 1396062 1654592 1861416 2094093 2481888 2792124 3722832 4188186 4963776 5584248 7445664 8376372 11168496 14891328 16752744 22336992 33505488 44673984 67010976 134021952