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135347478 = 23741531483
BaseRepresentation
bin10000001000100…
…11110100010110
3100102200100211120
420010103310112
5234122104403
621232544410
73232302030
oct1004236426
9312610746
10135347478
116a444622
12393b2106
132206b786
1413d92c50
15bd37e53
hex8113d16

135347478 has 64 divisors (see below), whose sum is σ = 323108352. Its totient is φ = 36990720.

The previous prime is 135347477. The next prime is 135347501. The reversal of 135347478 is 874743531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135347477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90525 + ... + 92007.

It is an arithmetic number, because the mean of its divisors is an integer number (5048568).

Almost surely, 2135347478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135347478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161554176).

135347478 is an abundant number, since it is smaller than the sum of its proper divisors (187760874).

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

135347478 is a wasteful number, since it uses less digits than its factorization.

135347478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

The product of its digits is 282240, while the sum is 42.

The square root of 135347478 is about 11633.8935013176. The cubic root of 135347478 is about 513.4325395302.

It can be divided in two parts, 13534 and 7478, that added together give a palindrome (21012).

The spelling of 135347478 in words is "one hundred thirty-five million, three hundred forty-seven thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 41 42 53 82 106 123 159 246 287 318 371 574 742 861 1113 1483 1722 2173 2226 2966 4346 4449 6519 8898 10381 13038 15211 20762 30422 31143 45633 60803 62286 78599 91266 121606 157198 182409 235797 364818 425621 471594 550193 851242 1100386 1276863 1650579 2553726 3222559 3301158 6445118 9667677 19335354 22557913 45115826 67673739 135347478