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136639872 = 273523191
BaseRepresentation
bin10000010010011…
…11010110000000
3100112010000200000
420021033112000
5234434433442
621320400000
73246263655
oct1011172600
9315100600
10136639872
1170147616
1239916000
1322401ac5
141420bc2c
15bee0d4c
hex824f580

136639872 has 192 divisors, whose sum is σ = 427714560. Its totient is φ = 43338240.

The previous prime is 136639861. The next prime is 136639879. The reversal of 136639872 is 278936631.

136639872 is a `hidden beast` number, since 1 + 3 + 6 + 639 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (326592) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136639879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 715297 + ... + 715487.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 2136639872 is an apocalyptic number.

136639872 is a gapful number since it is divisible by the number (12) 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 136639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

136639872 is an abundant number, since it is smaller than the sum of its proper divisors (291074688).

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

136639872 is an equidigital number, since it uses as much as digits as its factorization.

136639872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 219 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 136639872 is about 11689.3058818734. The cubic root of 136639872 is about 515.0615718007.

The spelling of 136639872 in words is "one hundred thirty-six million, six hundred thirty-nine thousand, eight hundred seventy-two".