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134083132560 = 243251369120731
BaseRepresentation
bin111110011011111111…
…0100011110010010000
3110211002111001212111200
41330313332203302100
54144100240220220
6141332534511200
712454463551626
oct1746776436220
9424074055450
10134083132560
1151956484053
1221ba0205500
13c84aab23c0
1466bd89d516
15374b55a890
hex1f37fa3c90

134083132560 has 240 divisors, whose sum is σ = 485659207488. Its totient is φ = 32955724800.

The previous prime is 134083132543. The next prime is 134083132621. The reversal of 134083132560 is 65231380431.

134083132560 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 83 + 13 + 2 + 560 = 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6457395 + ... + 6478125.

Almost surely, 2134083132560 is an apocalyptic number.

134083132560 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 134083132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242829603744).

134083132560 is an abundant number, since it is smaller than the sum of its proper divisors (351576074928).

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

134083132560 is a wasteful number, since it uses less digits than its factorization.

134083132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21454 (or 21445 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 134083132560 in words is "one hundred thirty-four billion, eighty-three million, one hundred thirty-two thousand, five hundred sixty".