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134357000 = 23532941113
BaseRepresentation
bin10000000001000…
…10000000001000
3100100211001011012
420000202000020
5233343411000
621155423052
73221005241
oct1000420010
9310731135
10134357000
1169928448
1238bb4a88
1321ab29ab
1413bb5cc8
15bbde735
hex8022008

134357000 has 128 divisors (see below), whose sum is σ = 336117600. Its totient is φ = 50176000.

The previous prime is 134356979. The next prime is 134357009. The reversal of 134357000 is 753431.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 70324996 + 64032004 = 8386^2 + 8002^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134357009) 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, 1188944 + ... + 1189056.

Almost surely, 2134357000 is an apocalyptic number.

134357000 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 134357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168058800).

134357000 is an abundant number, since it is smaller than the sum of its proper divisors (201760600).

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

134357000 is a wasteful number, since it uses less digits than its factorization.

134357000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 134357000 is about 11591.2466974006. The cubic root of 134357000 is about 512.1770322870.

The spelling of 134357000 in words is "one hundred thirty-four million, three hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 41 50 58 82 100 113 116 125 145 164 200 205 226 232 250 290 328 410 452 500 565 580 725 820 904 1000 1025 1130 1160 1189 1450 1640 2050 2260 2378 2825 2900 3277 3625 4100 4520 4633 4756 5125 5650 5800 5945 6554 7250 8200 9266 9512 10250 11300 11890 13108 14125 14500 16385 18532 20500 22600 23165 23780 26216 28250 29000 29725 32770 37064 41000 46330 47560 56500 59450 65540 81925 92660 113000 115825 118900 131080 134357 148625 163850 185320 231650 237800 268714 297250 327700 409625 463300 537428 579125 594500 655400 671785 819250 926600 1074856 1158250 1189000 1343570 1638500 2316500 2687140 3277000 3358925 4633000 5374280 6717850 13435700 16794625 26871400 33589250 67178500 134357000