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136526746720 = 2557139839539
BaseRepresentation
bin111111100100110100…
…0001101010001100000
3111001101210011022221211
41333021220031101200
54214101321343340
6142415225555504
712602155125310
oct1771150152140
9431353138854
10136526746720
115299a875591
1222562645b94
13cb4a12b940
146872233440
153840d495ea
hex1fc9a0d460

136526746720 has 192 divisors, whose sum is σ = 397423272960. Its totient is φ = 43159984128.

The previous prime is 136526746669. The next prime is 136526746747. The reversal of 136526746720 is 27647625631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14307711 + ... + 14317249.

It is an arithmetic number, because the mean of its divisors is an integer number (2069912880).

Almost surely, 2136526746720 is an apocalyptic number.

136526746720 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 136526746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198711636480).

136526746720 is an abundant number, since it is smaller than the sum of its proper divisors (260896526240).

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

136526746720 is a wasteful number, since it uses less digits than its factorization.

136526746720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10557 (or 10549 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 136526746720 in words is "one hundred thirty-six billion, five hundred twenty-six million, seven hundred forty-six thousand, seven hundred twenty".