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134702400 = 26352719211
BaseRepresentation
bin10000000011101…
…10010101000000
3100101110120221210
420001312111000
5233440434100
621211050120
73223644240
oct1001662500
9311416853
10134702400
116a0439a8
1239140940
1321ba3c81
1413c65b20
15bc5bc50
hex8076540

134702400 has 336 divisors, whose sum is σ = 534172160. Its totient is φ = 29030400.

The previous prime is 134702377. The next prime is 134702401. The reversal of 134702400 is 4207431.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134702401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638295 + ... + 638505.

Almost surely, 2134702400 is an apocalyptic number.

134702400 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 134702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267086080).

134702400 is an abundant number, since it is smaller than the sum of its proper divisors (399469760).

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

134702400 is a wasteful number, since it uses less digits than its factorization.

134702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 134702400 is about 11606.1363080053. The cubic root of 134702400 is about 512.6155519738.

Adding to 134702400 its reverse (4207431), we get a palindrome (138909831).

The spelling of 134702400 in words is "one hundred thirty-four million, seven hundred two thousand, four hundred".