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135135594070848 = 263372235311031187
BaseRepresentation
bin11110101110011110110101…
…000101001100001101000000
3122201110211120220021220101000
4132232132311011030031000
5120203030144040231343
61155224233534012000
740315136666101500
oct3656366505141500
9581424526256330
10135135594070848
113a07075796a068
12131a6225047000
135a53302480767
142552851d53a00
1510952c0cd0ed3
hex7ae7b514c340

135135594070848 has 1344 divisors, whose sum is σ = 492185804267520. Its totient is φ = 36171297017856.

The previous prime is 135135594070847. The next prime is 135135594070891. The reversal of 135135594070848 is 848070495531531.

135135594070848 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 559 + 4 + 0 + 70 + 8 + 4 + 8 = 666.

135135594070848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135135594070847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113846329711 + ... + 113846330897.

Almost surely, 2135135594070848 is an apocalyptic number.

135135594070848 is a gapful number since it is divisible by the number (18) 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 135135594070848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246092902133760).

135135594070848 is an abundant number, since it is smaller than the sum of its proper divisors (357050210196672).

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

135135594070848 is a wasteful number, since it uses less digits than its factorization.

135135594070848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 135135594070848 in words is "one hundred thirty-five trillion, one hundred thirty-five billion, five hundred ninety-four million, seventy thousand, eight hundred forty-eight".