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136944000 = 273353317
BaseRepresentation
bin10000010100110…
…01100110000000
3100112200110212000
420022121212000
5240024202000
621331104000
73252001434
oct1012314600
9315613760
10136944000
1170335066
1239a42000
13224aa36b
141428a9c4
15c051000
hex8299980

136944000 has 256 divisors, whose sum is σ = 506001600. Its totient is φ = 36403200.

The previous prime is 136943999. The next prime is 136944007. The reversal of 136944000 is 449631.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136944007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431842 + ... + 432158.

Almost surely, 2136944000 is an apocalyptic number.

136944000 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 136944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253000800).

136944000 is an abundant number, since it is smaller than the sum of its proper divisors (369057600).

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

136944000 is an equidigital number, since it uses as much as digits as its factorization.

136944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 136944000 is about 11702.3074647695. The cubic root of 136944000 is about 515.4434236691.

It can be divided in two parts, 1369 and 44000, that added together give a square (45369 = 2132).

The spelling of 136944000 in words is "one hundred thirty-six million, nine hundred forty-four thousand".