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135573765120 = 2103351757689
BaseRepresentation
bin111111001000011010…
…0110111110000000000
3110221221100221211222000
41332100310313300000
54210123340440440
6142140504144000
712536433663303
oct1762064676000
9427840854860
10135573765120
1152550946392
1222337468000
13ca278749c1
1467c1844b3a
1537d7354730
hex1f90d37c00

135573765120 has 352 divisors, whose sum is σ = 510154977600. Its totient is φ = 34025766912.

The previous prime is 135573765083. The next prime is 135573765133. The reversal of 135573765120 is 21567375531.

135573765120 is a `hidden beast` number, since 1 + 3 + 5 + 573 + 7 + 6 + 51 + 20 = 666.

It is a super-2 number, since 2×1355737651202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2321236 + ... + 2378924.

Almost surely, 2135573765120 is an apocalyptic number.

135573765120 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 135573765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255077488800).

135573765120 is an abundant number, since it is smaller than the sum of its proper divisors (374581212480).

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

135573765120 is a wasteful number, since it uses less digits than its factorization.

135573765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57740 (or 57716 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 135573765120 in words is "one hundred thirty-five billion, five hundred seventy-three million, seven hundred sixty-five thousand, one hundred twenty".