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134400735 = 3357142223
BaseRepresentation
bin10000000001011…
…00101011011111
3100100220021011000
420000230223133
5233401310420
621200401343
73221246610
oct1000545337
9310807130
10134400735
1169958297
1239016253
1321ac9881
1413bc7c07
15bbec690
hex802cadf

134400735 has 32 divisors (see below), whose sum is σ = 273070080. Its totient is φ = 61439904.

The previous prime is 134400733. The next prime is 134400743. The reversal of 134400735 is 537004431.

It is not a de Polignac number, because 134400735 - 21 = 134400733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134400699 and 134400708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134400733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70167 + ... + 72056.

It is an arithmetic number, because the mean of its divisors is an integer number (8533440).

Almost surely, 2134400735 is an apocalyptic number.

134400735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

134400735 is an abundant number, since it is smaller than the sum of its proper divisors (138669345).

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

134400735 is a wasteful number, since it uses less digits than its factorization.

134400735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142244 (or 142238 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 134400735 is about 11593.1330967948. The cubic root of 134400735 is about 512.2325997489.

The spelling of 134400735 in words is "one hundred thirty-four million, four hundred thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 142223 426669 711115 995561 1280007 2133345 2986683 3840021 4977805 6400035 8960049 14933415 19200105 26880147 44800245 134400735