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135032525123220 = 22325750180695129
BaseRepresentation
bin11110101100111110110101…
…101100010110111010010100
3122201002222112211212212102100
4132230332311230112322110
5120144333102412420340
61155105030300442100
740304530565356014
oct3654766554267224
9581088484785370
10135032525123220
113a030a7716120a
121318a25b549330
135a46687bc8c9a
14254b87549dc44
15109278c433830
hex7acfb5b16e94

135032525123220 has 36 divisors (see below), whose sum is σ = 409598659540980. Its totient is φ = 36008673366144.

The previous prime is 135032525123219. The next prime is 135032525123297. The reversal of 135032525123220 is 22321525230531.

135032525123220 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 3 + 2 + 525 + 123 + 2 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69890870725776 + 65141654397444 = 8360076^2 + 8071038^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (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, 375090347385 + ... + 375090347744.

It is an arithmetic number, because the mean of its divisors is an integer number (11377740542805).

Almost surely, 2135032525123220 is an apocalyptic number.

135032525123220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135032525123220 is an abundant number, since it is smaller than the sum of its proper divisors (274566134417760).

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

135032525123220 is a wasteful number, since it uses less digits than its factorization.

135032525123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750180695144 (or 750180695139 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 135032525123220 in words is "one hundred thirty-five trillion, thirty-two billion, five hundred twenty-five million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 750180695129 1500361390258 2250542085387 3000722780516 3750903475645 4501084170774 6751626256161 7501806951290 9002168341548 11252710426935 13503252512322 15003613902580 22505420853870 27006505024644 33758131280805 45010841707740 67516262561610 135032525123220