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136291380960 = 253573112710303
BaseRepresentation
bin111111011101110011…
…0010110111011100000
3111000210101021111211110
41332323212112323200
54213111043142320
6142340021143320
712563266423620
oct1767346267340
9430711244743
10136291380960
1152889a27829
12224b785ab40
13cb10441267
14684cc86880
15382a3565e0
hex1fbb996ee0

136291380960 has 384 divisors, whose sum is σ = 510513905664. Its totient is φ = 29907118080.

The previous prime is 136291380949. The next prime is 136291380961. The reversal of 136291380960 is 69083192631.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136291380961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13223169 + ... + 13233471.

It is an arithmetic number, because the mean of its divisors is an integer number (1329463296).

Almost surely, 2136291380960 is an apocalyptic number.

136291380960 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 136291380960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255256952832).

136291380960 is an abundant number, since it is smaller than the sum of its proper divisors (374222524704).

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

136291380960 is a wasteful number, since it uses less digits than its factorization.

136291380960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 136291380960 in words is "one hundred thirty-six billion, two hundred ninety-one million, three hundred eighty thousand, nine hundred sixty".