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135871197240 = 233537412233347
BaseRepresentation
bin111111010001010001…
…1011111000000111000
3110222201002121222010110
41332202203133000320
54211231011302430
6142230211144320
712550005056322
oct1764243370070
9428632558113
10135871197240
1152693826559
12223baba50a0
13ca74383a3c
14680d14a612
1538035077b0
hex1fa28df038

135871197240 has 256 divisors, whose sum is σ = 430892421120. Its totient is φ = 34228776960.

The previous prime is 135871197229. The next prime is 135871197247. The reversal of 135871197240 is 42791178531.

It is a self number, because there is not a number n which added to its sum of digits gives 135871197240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135871197247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40593247 + ... + 40596593.

It is an arithmetic number, because the mean of its divisors is an integer number (1683173520).

Almost surely, 2135871197240 is an apocalyptic number.

135871197240 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 135871197240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215446210560).

135871197240 is an abundant number, since it is smaller than the sum of its proper divisors (295021223880).

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

135871197240 is a wasteful number, since it uses less digits than its factorization.

135871197240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 135871197240 in words is "one hundred thirty-five billion, eight hundred seventy-one million, one hundred ninety-seven thousand, two hundred forty".