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135940654080 = 210365711243
BaseRepresentation
bin111111010011010110…
…0011100010000000000
3110222212221022202000000
41332212230130100000
54211401301412310
6142241132000000
712551510331360
oct1764654342000
9428787282000
10135940654080
1152719a56500
122241a300000
13ca8589226a
14681846a9a0
1538096774c0
hex1fa6b1c400

135940654080 has 1848 divisors, whose sum is σ = 628468564416. Its totient is φ = 27590492160.

The previous prime is 135940654079. The next prime is 135940654081. The reversal of 135940654080 is 80456049531.

135940654080 is a `hidden beast` number, since 1 + 3 + 594 + 0 + 6 + 54 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135940654079) and next prime (135940654081).

It is a tau number, because it is divible by the number of its divisors (1848).

It is a super-2 number, since 2×1359406540802 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (135940654081) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3161410539 + ... + 3161410581.

It is an arithmetic number, because the mean of its divisors is an integer number (340080392).

Almost surely, 2135940654080 is an apocalyptic number.

135940654080 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 135940654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314234282208).

135940654080 is an abundant number, since it is smaller than the sum of its proper divisors (492527910336).

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

135940654080 is an equidigital number, since it uses as much as digits as its factorization.

135940654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 135940654080 in words is "one hundred thirty-five billion, nine hundred forty million, six hundred fifty-four thousand, eighty".