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135955920 = 2435643881
BaseRepresentation
bin10000001101010…
…00010111010000
3100110211021110110
420012220113100
5234301042140
621254001320
73240414642
oct1006502720
9313737413
10135955920
116a81a771
1239646240
13222226b9
14140b0892
15be08380
hex81a85d0

135955920 has 80 divisors (see below), whose sum is σ = 422597952. Its totient is φ = 36157440.

The previous prime is 135955903. The next prime is 135955943. The reversal of 135955920 is 29559531.

It is a tau number, because it is divible by the number of its divisors (80).

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, 153880 + ... + 154760.

Almost surely, 2135955920 is an apocalyptic number.

135955920 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 135955920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211298976).

135955920 is an abundant number, since it is smaller than the sum of its proper divisors (286642032).

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

135955920 is a wasteful number, since it uses less digits than its factorization.

135955920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 39.

The square root of 135955920 is about 11660.0137221189. The cubic root of 135955920 is about 514.2007522787.

The spelling of 135955920 in words is "one hundred thirty-five million, nine hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 643 881 1286 1762 1929 2572 2643 3215 3524 3858 4405 5144 5286 6430 7048 7716 8810 9645 10288 10572 12860 13215 14096 15432 17620 19290 21144 25720 26430 30864 35240 38580 42288 51440 52860 70480 77160 105720 154320 211440 566483 1132966 1699449 2265932 2832415 3398898 4531864 5664830 6797796 8497245 9063728 11329660 13595592 16994490 22659320 27191184 33988980 45318640 67977960 135955920