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135132418260 = 223457171979467
BaseRepresentation
bin111110111011010000…
…1010001000011010100
3110220210121111002220000
41331312201101003110
54203222344341020
6142025020411300
712522464413620
oct1756641210324
9426717432800
10135132418260
11523447aaa14
12222336a6b30
13c9872b7808
14677cd9a180
1537ad725090
hex1f768510d4

135132418260 has 960 divisors, whose sum is σ = 547977830400. Its totient is φ = 27133636608.

The previous prime is 135132418249. The next prime is 135132418271. The reversal of 135132418260 is 62814231531.

135132418260 is a `hidden beast` number, since 1 + 3 + 513 + 2 + 4 + 1 + 82 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (135132418249) and next prime (135132418271).

It is a super-3 number, since 3×1351324182603 (a number of 34 digits) contains 333 as substring.

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 319 ways as a sum of consecutive naturals, for example, 289362547 + ... + 289363013.

It is an arithmetic number, because the mean of its divisors is an integer number (570810240).

Almost surely, 2135132418260 is an apocalyptic number.

135132418260 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 135132418260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273988915200).

135132418260 is an abundant number, since it is smaller than the sum of its proper divisors (412845412140).

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

135132418260 is a wasteful number, since it uses less digits than its factorization.

135132418260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 135132418260 its reverse (62814231531), we get a palindrome (197946649791).

The spelling of 135132418260 in words is "one hundred thirty-five billion, one hundred thirty-two million, four hundred eighteen thousand, two hundred sixty".