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136690260480 = 29355219731
BaseRepresentation
bin111111101001101011…
…1111101101000000000
3111001211011211200200000
41333103113331220000
54214420201313410
6142443350400000
712606212020644
oct1772327755000
9431734750600
10136690260480
1152a740a7924
12225a9360000
13cb74c7c847
146889c38c24
153850397dc0
hex1fd35fda00

136690260480 has 240 divisors, whose sum is σ = 490932265824. Its totient is φ = 36450570240.

The previous prime is 136690260449. The next prime is 136690260521. The reversal of 136690260480 is 84062096631.

136690260480 is a `hidden beast` number, since 1 + 3 + 66 + 90 + 26 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512215 + ... + 731945.

Almost surely, 2136690260480 is an apocalyptic number.

136690260480 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 136690260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245466132912).

136690260480 is an abundant number, since it is smaller than the sum of its proper divisors (354242005344).

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

136690260480 is an frugal number, since it uses more digits than its factorization.

136690260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219769 (or 219741 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 136690260480 in words is "one hundred thirty-six billion, six hundred ninety million, two hundred sixty thousand, four hundred eighty".