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136840107936 = 2537319218723
BaseRepresentation
bin111111101110001001…
…1100101011110100000
3111002012121210201201210
41333130103211132200
54220222031423221
6142510302230120
712613011504000
oct1773423453640
9432177721653
10136840107936
11530407454a4
122262b585340
13cb9a02718c
1468a1ac4000
15385d5e7276
hex1fdc4e57a0

136840107936 has 192 divisors, whose sum is σ = 440947584000. Its totient is φ = 37039258368.

The previous prime is 136840107883. The next prime is 136840107941. The reversal of 136840107936 is 639701048631.

It is a happy number.

It is a super-2 number, since 2×1368401079362 (a number of 23 digits) contains 22 as substring.

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

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, 516271 + ... + 734993.

It is an arithmetic number, because the mean of its divisors is an integer number (2296602000).

Almost surely, 2136840107936 is an apocalyptic number.

136840107936 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 136840107936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220473792000).

136840107936 is an abundant number, since it is smaller than the sum of its proper divisors (304107476064).

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

136840107936 is a wasteful number, since it uses less digits than its factorization.

136840107936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218776 (or 218754 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 136840107936 in words is "one hundred thirty-six billion, eight hundred forty million, one hundred seven thousand, nine hundred thirty-six".