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134332400 = 2452418191
BaseRepresentation
bin10000000000110…
…11111111110000
3100100202210102002
420000123333300
5233342114100
621155113132
73220543436
oct1000337760
9310683362
10134332400
1169910a14
1238ba27a8
1321aa4737
1413baad56
15bbd72d5
hex801bff0

134332400 has 60 divisors (see below), whose sum is σ = 330645504. Its totient is φ = 52416000.

The previous prime is 134332399. The next prime is 134332403. The reversal of 134332400 is 4233431.

134332400 = T1416 + T1417 + ... + T1538.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134332403) 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 11 ways as a sum of consecutive naturals, for example, 12305 + ... + 20495.

Almost surely, 2134332400 is an apocalyptic number.

134332400 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 134332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322752).

134332400 is an abundant number, since it is smaller than the sum of its proper divisors (196313104).

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

134332400 is a wasteful number, since it uses less digits than its factorization.

134332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 134332400 is about 11590.1855032609. The cubic root of 134332400 is about 512.1457714818.

Adding to 134332400 its reverse (4233431), we get a palindrome (138565831).

The spelling of 134332400 in words is "one hundred thirty-four million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 8191 8200 16382 16400 32764 40955 65528 81910 131056 163820 204775 327640 335831 409550 655280 671662 819100 1343324 1638200 1679155 2686648 3276400 3358310 5373296 6716620 8395775 13433240 16791550 26866480 33583100 67166200 134332400