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135901620 = 22325755009
BaseRepresentation
bin10000001100110…
…11000110110100
3100110201111222100
420012123012310
5234242322440
621252502100
73240100431
oct1006330664
9313644870
10135901620
116a792998
123961a930
1322203a7a
1414098b88
15bde7230
hex819b1b4

135901620 has 36 divisors (see below), whose sum is σ = 412235460. Its totient is φ = 36240384.

The previous prime is 135901609. The next prime is 135901639. The reversal of 135901620 is 26109531.

135901620 is a `hidden beast` number, since 1 + 35 + 9 + 0 + 1 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 117548964 = 4284^2 + 10842^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377325 + ... + 377684.

It is an arithmetic number, because the mean of its divisors is an integer number (11450985).

Almost surely, 2135901620 is an apocalyptic number.

135901620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135901620 is an abundant number, since it is smaller than the sum of its proper divisors (276333840).

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

135901620 is a wasteful number, since it uses less digits than its factorization.

135901620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755024 (or 755019 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 135901620 is about 11657.6850189049. The cubic root of 135901620 is about 514.1322869044.

The spelling of 135901620 in words is "one hundred thirty-five million, nine hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 755009 1510018 2265027 3020036 3775045 4530054 6795081 7550090 9060108 11325135 13590162 15100180 22650270 27180324 33975405 45300540 67950810 135901620