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135925830 = 23354791051
BaseRepresentation
bin10000001101000…
…01000001000110
3100110202202012000
420012201001012
5234244111310
621253210130
73240231135
oct1006410106
9313682160
10135925830
116a7aa0a7
1239630946
1322211ab1
14140a391c
15bdee4c0
hex81a1046

135925830 has 64 divisors (see below), whose sum is σ = 363571200. Its totient is φ = 36136800.

The previous prime is 135925817. The next prime is 135925831. The reversal of 135925830 is 38529531.

135925830 is a `hidden beast` number, since 13 + 592 + 58 + 3 + 0 = 666.

It is a super-2 number, since 2×1359258302 = 36951662522377800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135925831) 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, 128805 + ... + 129855.

It is an arithmetic number, because the mean of its divisors is an integer number (5680800).

Almost surely, 2135925830 is an apocalyptic number.

135925830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135925830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181785600).

135925830 is an abundant number, since it is smaller than the sum of its proper divisors (227645370).

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

135925830 is a wasteful number, since it uses less digits than its factorization.

135925830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 135925830 is about 11658.7233434883. The cubic root of 135925830 is about 514.1628148790.

The spelling of 135925830 in words is "one hundred thirty-five million, nine hundred twenty-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 479 958 1051 1437 2102 2395 2874 3153 4311 4790 5255 6306 7185 8622 9459 10510 12933 14370 15765 18918 21555 25866 28377 31530 43110 47295 56754 64665 94590 129330 141885 283770 503429 1006858 1510287 2517145 3020574 4530861 5034290 7551435 9061722 13592583 15102870 22654305 27185166 45308610 67962915 135925830