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136965192 = 233721317231
BaseRepresentation
bin10000010100111…
…10110001001000
3100112201112220220
420022132301020
5240030341232
621331350040
73252120300
oct1012366110
9315645826
10136965192
1170349a81
1239a52320
13224b6bc0
1414294600
15c05742c
hex829ec48

136965192 has 288 divisors, whose sum is σ = 470373120. Its totient is φ = 32901120.

The previous prime is 136965187. The next prime is 136965211. The reversal of 136965192 is 291569631.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 71 ways as a sum of consecutive naturals, for example, 4418217 + ... + 4418247.

It is an arithmetic number, because the mean of its divisors is an integer number (1633240).

Almost surely, 2136965192 is an apocalyptic number.

136965192 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 136965192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235186560).

136965192 is an abundant number, since it is smaller than the sum of its proper divisors (333407928).

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

136965192 is a wasteful number, since it uses less digits than its factorization.

136965192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its digits is 87480, while the sum is 42.

The square root of 136965192 is about 11703.2128921933. The cubic root of 136965192 is about 515.4700104822.

The spelling of 136965192 in words is "one hundred thirty-six million, nine hundred sixty-five thousand, one hundred ninety-two".