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134057000 = 23537111741
BaseRepresentation
bin1111111110110…
…00110000101000
3100100020210122002
413333120300220
5233304311000
621145150132
73215315510
oct777306050
9310223562
10134057000
1169743010
1238a8b348
1321a0928c
1413b38840
15bb808d5
hex7fd8c28

134057000 has 128 divisors (see below), whose sum is σ = 391322880. Its totient is φ = 41760000.

The previous prime is 134056987. The next prime is 134057023. The reversal of 134057000 is 750431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76130 + ... + 77870.

It is an arithmetic number, because the mean of its divisors is an integer number (3057210).

Almost surely, 2134057000 is an apocalyptic number.

134057000 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 134057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195661440).

134057000 is an abundant number, since it is smaller than the sum of its proper divisors (257265880).

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

134057000 is a wasteful number, since it uses less digits than its factorization.

134057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 134057000 is about 11578.2986660390. The cubic root of 134057000 is about 511.7955421437.

The spelling of 134057000 in words is "one hundred thirty-four million, fifty-seven thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1741 1750 1925 2200 2750 3080 3482 3500 3850 5500 6964 7000 7700 8705 9625 11000 12187 13928 15400 17410 19151 19250 24374 34820 38302 38500 43525 48748 60935 69640 76604 77000 87050 95755 97496 121870 134057 153208 174100 191510 217625 243740 268114 304675 348200 383020 435250 478775 487480 536228 609350 670285 766040 870500 957550 1072456 1218700 1340570 1523375 1741000 1915100 2393875 2437400 2681140 3046750 3351425 3830200 4787750 5362280 6093500 6702850 9575500 12187000 13405700 16757125 19151000 26811400 33514250 67028500 134057000