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135747104 = 25231811019
BaseRepresentation
bin10000001011101…
…01011000100000
3100110102200000112
420011311120200
5234222401404
621245310452
73235555103
oct1005653040
9313380015
10135747104
116a697899
1239565428
132217b63c
141405873a
15bdb656e
hex8175620

135747104 has 48 divisors (see below), whose sum is σ = 280687680. Its totient is φ = 64500480.

The previous prime is 135747103. The next prime is 135747113. The reversal of 135747104 is 401747531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (135747103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132707 + ... + 133725.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2135747104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135747104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140343840).

135747104 is an abundant number, since it is smaller than the sum of its proper divisors (144940576).

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

135747104 is a wasteful number, since it uses less digits than its factorization.

135747104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 135747104 is about 11651.0559178128. The cubic root of 135747104 is about 513.9373620976.

The spelling of 135747104 in words is "one hundred thirty-five million, seven hundred forty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 181 184 362 368 724 736 1019 1448 2038 2896 4076 4163 5792 8152 8326 16304 16652 23437 32608 33304 46874 66608 93748 133216 184439 187496 368878 374992 737756 749984 1475512 2951024 4242097 5902048 8484194 16968388 33936776 67873552 135747104