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136641120 = 25357113697
BaseRepresentation
bin10000010010011…
…11101001100000
3100112010002101020
420021033221200
5234440003440
621320405440
73246300420
oct1011175140
9315102336
10136641120
1170148550
1239916880
1322402545
141420c480
15bee13d0
hex824fa60

136641120 has 192 divisors, whose sum is σ = 536772096. Its totient is φ = 28385280.

The previous prime is 136641119. The next prime is 136641187. The reversal of 136641120 is 21146631.

It is a super-4 number, since 4×1366411204 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35112 + ... + 38808.

It is an arithmetic number, because the mean of its divisors is an integer number (2795688).

Almost surely, 2136641120 is an apocalyptic number.

136641120 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 136641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268386048).

136641120 is an abundant number, since it is smaller than the sum of its proper divisors (400130976).

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

136641120 is a wasteful number, since it uses less digits than its factorization.

136641120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 136641120 is about 11689.3592638776. The cubic root of 136641120 is about 515.0631399006.

Adding to 136641120 its reverse (21146631), we get a palindrome (157787751).

It can be divided in two parts, 1366 and 41120, that added together give a triangular number (42486 = T291).

The spelling of 136641120 in words is "one hundred thirty-six million, six hundred forty-one thousand, one hundred twenty".