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134152000 = 265341409
BaseRepresentation
bin1111111111011…
…11111101000000
3100100102121221121
413333233331000
5233320331000
621151202024
73216162463
oct777577500
9310377847
10134152000
11697a8424
1238b16314
1321a405a8
1413b612da
15bb9db1a
hex7feff40

134152000 has 112 divisors (see below), whose sum is σ = 341162640. Its totient is φ = 52224000.

The previous prime is 134151967. The next prime is 134152003. The reversal of 134152000 is 251431.

It can be written as a sum of positive squares in 8 ways, for example, as 48330304 + 85821696 = 6952^2 + 9264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134152003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327796 + ... + 328204.

It is an arithmetic number, because the mean of its divisors is an integer number (3046095).

Almost surely, 2134152000 is an apocalyptic number.

134152000 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 134152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170581320).

134152000 is an abundant number, since it is smaller than the sum of its proper divisors (207010640).

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

134152000 is an equidigital number, since it uses as much as digits as its factorization.

134152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 134152000 is about 11582.4004420500. The cubic root of 134152000 is about 511.9164088794.

The spelling of 134152000 in words is "one hundred thirty-four million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 160 164 200 205 250 320 328 400 409 410 500 656 800 818 820 1000 1025 1312 1600 1636 1640 2000 2045 2050 2624 3272 3280 4000 4090 4100 5125 6544 6560 8000 8180 8200 10225 10250 13088 13120 16360 16400 16769 20450 20500 26176 32720 32800 33538 40900 41000 51125 65440 65600 67076 81800 82000 83845 102250 130880 134152 163600 164000 167690 204500 268304 327200 328000 335380 409000 419225 536608 654400 670760 818000 838450 1073216 1341520 1636000 1676900 2096125 2683040 3272000 3353800 4192250 5366080 6707600 8384500 13415200 16769000 26830400 33538000 67076000 134152000