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134052000 = 2535311171
BaseRepresentation
bin1111111110101…
…11100010100000
3100100020112202220
413333113202200
5233304131000
621145111040
73215265105
oct777274240
9310215686
10134052000
116973a285
1238a88480
1321a06c14
1413b36aac
15bb7e1a0
hex7fd78a0

134052000 has 96 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 35744000.

The previous prime is 134051969. The next prime is 134052041. The reversal of 134052000 is 250431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6415 + ... + 17585.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2134052000 is an apocalyptic number.

134052000 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 134052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

134052000 is an abundant number, since it is smaller than the sum of its proper divisors (305141664).

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

134052000 is a wasteful number, since it uses less digits than its factorization.

134052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11199 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 134052000 is about 11578.0827428379. The cubic root of 134052000 is about 511.7891791550.

The spelling of 134052000 in words is "one hundred thirty-four million, fifty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 11171 12000 22342 33513 44684 55855 67026 89368 111710 134052 167565 178736 223420 268104 279275 335130 357472 446840 536208 558550 670260 837825 893680 1072416 1117100 1340520 1396375 1675650 1787360 2234200 2681040 2792750 3351300 4189125 4468400 5362080 5585500 6702600 8378250 8936800 11171000 13405200 16756500 22342000 26810400 33513000 44684000 67026000 134052000