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135761850 = 232527247131
BaseRepresentation
bin10000001011110…
…00111110111010
3100110110102020200
420011320332322
5234223334400
621245503030
73235646100
oct1005707672
9313412220
10135761850
116a6a7984
1239571a76
1322185273
141405dc70
15bdbab00
hex8178fba

135761850 has 216 divisors, whose sum is σ = 436632768. Its totient is φ = 30139200.

The previous prime is 135761849. The next prime is 135761851. The reversal of 135761850 is 58167531.

135761850 is a `hidden beast` number, since 1 + 3 + 576 + 1 + 85 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135761849) and next prime (135761851).

It is not an unprimeable number, because it can be changed into a prime (135761851) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1036285 + ... + 1036415.

It is an arithmetic number, because the mean of its divisors is an integer number (2021448).

Almost surely, 2135761850 is an apocalyptic number.

135761850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135761850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218316384).

135761850 is an abundant number, since it is smaller than the sum of its proper divisors (300870918).

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

135761850 is a wasteful number, since it uses less digits than its factorization.

135761850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 135761850 is about 11651.6887188081. The cubic root of 135761850 is about 513.9559708333.

The spelling of 135761850 in words is "one hundred thirty-five million, seven hundred sixty-one thousand, eight hundred fifty".