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136866240000 = 29335473173
BaseRepresentation
bin111111101110111011…
…1010001011000000000
3111002021102222101012000
41333131313101120000
54220300224140000
6142513034304000
712613446562530
oct1773567213000
9432242871160
10136866240000
1153054473946
1222638288000
13cba2576739
1468a53674c0
153860a5a000
hex1fdddd1600

136866240000 has 1600 divisors, whose sum is σ = 605422202880. Its totient is φ = 29859840000.

The previous prime is 136866239977. The next prime is 136866240019. The reversal of 136866240000 is 42668631.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1874879964 + ... + 1874880036.

Almost surely, 2136866240000 is an apocalyptic number.

136866240000 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 136866240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302711101440).

136866240000 is an abundant number, since it is smaller than the sum of its proper divisors (468555962880).

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

136866240000 is an frugal number, since it uses more digits than its factorization.

136866240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 136866240000 in words is "one hundred thirty-six billion, eight hundred sixty-six million, two hundred forty thousand".