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134142100 = 22529771373
BaseRepresentation
bin1111111111011…
…01100010010100
3100100102010100221
413333231202110
5233320021400
621151044124
73216121561
oct777554224
9310363327
10134142100
11697a0a44
1238b10644
1321a38c31
1413b5b868
15bb9ac1a
hex7fed894

134142100 has 36 divisors (see below), whose sum is σ = 291598524. Its totient is φ = 53562880.

The previous prime is 134142067. The next prime is 134142103. The reversal of 134142100 is 1241431.

It can be written as a sum of positive squares in 6 ways, for example, as 26563716 + 107578384 = 5154^2 + 10372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134142103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97014 + ... + 98386.

It is an arithmetic number, because the mean of its divisors is an integer number (8099959).

Almost surely, 2134142100 is an apocalyptic number.

134142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134142100 is an abundant number, since it is smaller than the sum of its proper divisors (157456424).

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

134142100 is a wasteful number, since it uses less digits than its factorization.

134142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 134142100 is about 11581.9730616161. The cubic root of 134142100 is about 511.9038159571.

Adding to 134142100 its reverse (1241431), we get a palindrome (135383531).

The spelling of 134142100 in words is "one hundred thirty-four million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 977 1373 1954 2746 3908 4885 5492 6865 9770 13730 19540 24425 27460 34325 48850 68650 97700 137300 1341421 2682842 5365684 6707105 13414210 26828420 33535525 67071050 134142100