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136134609221856 = 25371512306358171
BaseRepresentation
bin11110111101000001001111…
…000001100011100011100000
3122212000100012222112211000110
4132331001033001203203200
5120320412134430044411
61201311213123451320
740450254344551620
oct3675011701434340
9585010188484013
10136134609221856
113a4163aa97a373
1213327971226b40
135ac65916b53cb
142588d43674880
1510b1290d5a2a6
hex7bd04f0638e0

136134609221856 has 192 divisors, whose sum is σ = 411133381779456. Its totient is φ = 38635676352000.

The previous prime is 136134609221839. The next prime is 136134609221873. The reversal of 136134609221856 is 658122906431631.

136134609221856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136134609221839) and next prime (136134609221873).

It is a junction number, because it is equal to n+sod(n) for n = 136134609221796 and 136134609221805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340219651 + ... + 2340277821.

It is an arithmetic number, because the mean of its divisors is an integer number (2141319696768).

Almost surely, 2136134609221856 is an apocalyptic number.

136134609221856 is a gapful number since it is divisible by the number (16) 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 136134609221856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205566690889728).

136134609221856 is an abundant number, since it is smaller than the sum of its proper divisors (274998772557600).

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

136134609221856 is a wasteful number, since it uses less digits than its factorization.

136134609221856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81405 (or 81397 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 136134609221856 in words is "one hundred thirty-six trillion, one hundred thirty-four billion, six hundred nine million, two hundred twenty-one thousand, eight hundred fifty-six".