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136452781025280 = 2113451943613301
BaseRepresentation
bin11111000001101001100011…
…100010101010100000000000
3122220010202110220221002210000
4133001221203202222200000
5120341120243420302110
61202113313041440000
740512250055346066
oct3701514342524000
9586122426832700
10136452781025280
113a529332632525
1213379568340000
135b1a599208705
14259a4c7d66036
1510b96b3a0c1c0
hex7c1a638aa800

136452781025280 has 1920 divisors, whose sum is σ = 535601713046400. Its totient is φ = 33108590592000.

The previous prime is 136452781025189. The next prime is 136452781025287. The reversal of 136452781025280 is 82520187254631.

It is a happy number.

136452781025280 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 5 + 2 + 7 + 8 + 102 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1364527810252802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (136452781025287) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 41336799630 + ... + 41336802930.

It is an arithmetic number, because the mean of its divisors is an integer number (278959225545).

Almost surely, 2136452781025280 is an apocalyptic number.

136452781025280 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 136452781025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267800856523200).

136452781025280 is an abundant number, since it is smaller than the sum of its proper divisors (399148932021120).

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

136452781025280 is a wasteful number, since it uses less digits than its factorization.

136452781025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 136452781025280 in words is "one hundred thirty-six trillion, four hundred fifty-two billion, seven hundred eighty-one million, twenty-five thousand, two hundred eighty".