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135610120140 = 2235112376911617
BaseRepresentation
bin111111001001011111…
…1100011011111001100
3110222000220100212200020
41332102333203133030
54210212142321030
6142144243302140
712540355000515
oct1762277433714
9428026325606
10135610120140
115256a417460
122234767a950
13ca32263451
1467c65c9a0c
1537da636510
hex1f92fe37cc

135610120140 has 192 divisors, whose sum is σ = 432836490240. Its totient is φ = 31402229760.

The previous prime is 135610120069. The next prime is 135610120141. The reversal of 135610120140 is 41021016531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135610120140.

It is not an unprimeable number, because it can be changed into a prime (135610120141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11667612 + ... + 11679228.

It is an arithmetic number, because the mean of its divisors is an integer number (2254356720).

Almost surely, 2135610120140 is an apocalyptic number.

135610120140 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 135610120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216418245120).

135610120140 is an abundant number, since it is smaller than the sum of its proper divisors (297226370100).

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

135610120140 is a wasteful number, since it uses less digits than its factorization.

135610120140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12432 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 135610120140 its reverse (41021016531), we get a palindrome (176631136671).

The spelling of 135610120140 in words is "one hundred thirty-five billion, six hundred ten million, one hundred twenty thousand, one hundred forty".