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136011960 = 2335571999
BaseRepresentation
bin10000001101101…
…10000010111000
3100110221010100000
420012312002320
5234304340320
621255113000
73241040220
oct1006660270
9313833300
10136011960
116a858887
1239672760
1322242066
14140c7080
15be19c90
hex81b60b8

136011960 has 192 divisors, whose sum is σ = 524160000. Its totient is φ = 31072896.

The previous prime is 136011947. The next prime is 136011961. The reversal of 136011960 is 69110631.

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 (136011961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 67041 + ... + 69039.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 2136011960 is an apocalyptic number.

136011960 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 136011960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080000).

136011960 is an abundant number, since it is smaller than the sum of its proper divisors (388148040).

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

136011960 is a wasteful number, since it uses less digits than its factorization.

136011960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 136011960 is about 11662.4165591870. The cubic root of 136011960 is about 514.2713924583.

The spelling of 136011960 in words is "one hundred thirty-six million, eleven thousand, nine hundred sixty".