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134538100 = 22521399679
BaseRepresentation
bin10000000010011…
…10001101110100
3100101011020120121
420001032031310
5233420204400
621203341324
73222361234
oct1001161564
9311136517
10134538100
1169a41514
1239081844
1321b47258
1413c21cc4
15bc2821a
hex804e374

134538100 has 36 divisors (see below), whose sum is σ = 294078400. Its totient is φ = 53422560.

The previous prime is 134538083. The next prime is 134538101. The reversal of 134538100 is 1835431.

It is a super-2 number, since 2×1345381002 = 36201000703220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134538101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9061 + ... + 18739.

Almost surely, 2134538100 is an apocalyptic number.

134538100 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 134538100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147039200).

134538100 is an abundant number, since it is smaller than the sum of its proper divisors (159540300).

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

134538100 is a wasteful number, since it uses less digits than its factorization.

134538100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9832 (or 9825 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 134538100 is about 11599.0559960714. The cubic root of 134538100 is about 512.4070503651.

The spelling of 134538100 in words is "one hundred thirty-four million, five hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3475 6950 9679 13900 19358 38716 48395 96790 193580 241975 483950 967900 1345381 2690762 5381524 6726905 13453810 26907620 33634525 67269050 134538100