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136710000 = 2432547231
BaseRepresentation
bin10000010011000…
…00011101110000
3100112020120212100
420021200131300
5234444210000
621322100400
73250005300
oct1011403560
9315216770
10136710000
1170195279
123994a700
13224279bb
1414229600
15c006a00
hex8260770

136710000 has 450 divisors, whose sum is σ = 574091232. Its totient is φ = 30240000.

The previous prime is 136709987. The next prime is 136710001. The reversal of 136710000 is 17631.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136710001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4409985 + ... + 4410015.

Almost surely, 2136710000 is an apocalyptic number.

136710000 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 136710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287045616).

136710000 is an abundant number, since it is smaller than the sum of its proper divisors (437381232).

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

136710000 is a wasteful number, since it uses less digits than its factorization.

136710000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 136710000 is about 11692.3051619430. The cubic root of 136710000 is about 515.1496721475.

Adding to 136710000 its reverse (17631), we get a palindrome (136727631).

The spelling of 136710000 in words is "one hundred thirty-six million, seven hundred ten thousand".