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136422144 = 28361743
BaseRepresentation
bin10000010000110…
…10001100000000
3100111200222000000
420020122030000
5234411002034
621312000000
73244366125
oct1010321400
9314628000
10136422144
1170008a81
1239830000
1322356981
141419274c
15be9b599
hex821a300

136422144 has 252 divisors, whose sum is σ = 442350216. Its totient is φ = 41803776.

The previous prime is 136422113. The next prime is 136422157. The reversal of 136422144 is 441224631.

It is a happy number.

136422144 is a `hidden beast` number, since 1 + 3 + 642 + 2 + 14 + 4 = 666.

It is a super-2 number, since 2×1364221442 = 37222002747113472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3172587 + ... + 3172629.

It is an arithmetic number, because the mean of its divisors is an integer number (1755358).

Almost surely, 2136422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221175108).

136422144 is an abundant number, since it is smaller than the sum of its proper divisors (305928072).

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

136422144 is an frugal number, since it uses more digits than its factorization.

136422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 136422144 is about 11679.9890410907. The cubic root of 136422144 is about 514.7878524201.

Adding to 136422144 its reverse (441224631), we get a palindrome (577646775).

The spelling of 136422144 in words is "one hundred thirty-six million, four hundred twenty-two thousand, one hundred forty-four".