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135922920 = 233571031571
BaseRepresentation
bin10000001101000…
…00010011101000
3100110202121012020
420012200103220
5234244013140
621253144440
73240216510
oct1006402350
9313677166
10135922920
116a7a79a1
123962b120
1322210683
14140a2840
15bded6d0
hex81a04e8

135922920 has 128 divisors (see below), whose sum is σ = 470845440. Its totient is φ = 30746880.

The previous prime is 135922909. The next prime is 135922921. The reversal of 135922920 is 29229531.

It is not an unprimeable number, because it can be changed into a prime (135922921) 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, 85735 + ... + 87305.

It is an arithmetic number, because the mean of its divisors is an integer number (3678480).

Almost surely, 2135922920 is an apocalyptic number.

135922920 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 135922920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235422720).

135922920 is an abundant number, since it is smaller than the sum of its proper divisors (334922520).

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

135922920 is a wasteful number, since it uses less digits than its factorization.

135922920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 135922920 is about 11658.5985435643. The cubic root of 135922920 is about 514.1591456611.

The spelling of 135922920 in words is "one hundred thirty-five million, nine hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 103 105 120 140 168 206 210 280 309 412 420 515 618 721 824 840 1030 1236 1442 1545 1571 2060 2163 2472 2884 3090 3142 3605 4120 4326 4713 5768 6180 6284 7210 7855 8652 9426 10815 10997 12360 12568 14420 15710 17304 18852 21630 21994 23565 28840 31420 32991 37704 43260 43988 47130 54985 62840 65982 86520 87976 94260 109970 131964 161813 164955 188520 219940 263928 323626 329910 439880 485439 647252 659820 809065 970878 1132691 1294504 1319640 1618130 1941756 2265382 2427195 3236260 3398073 3883512 4530764 4854390 5663455 6472520 6796146 9061528 9708780 11326910 13592292 16990365 19417560 22653820 27184584 33980730 45307640 67961460 135922920