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133012134000 = 24325331238373
BaseRepresentation
bin111101111100000100…
…1000001100001110000
3110201022211210111200100
41323320021001201300
54134402101242000
6141034355352400
712416110325064
oct1737011014160
9421284714610
10133012134000
1151456977a79
12219415b2700
13c709c47045
14661b54daa4
1536d7502a00
hex1ef8241870

133012134000 has 240 divisors, whose sum is σ = 479555092224. Its totient is φ = 34325568000.

The previous prime is 133012133981. The next prime is 133012134023. The reversal of 133012134000 is 431210331.

133012134000 is a `hidden beast` number, since 1 + 3 + 301 + 21 + 340 + 0 + 0 = 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 (18).

It is a congruent number.

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, 438814 + ... + 677186.

Almost surely, 2133012134000 is an apocalyptic number.

133012134000 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 133012134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239777546112).

133012134000 is an abundant number, since it is smaller than the sum of its proper divisors (346542958224).

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

133012134000 is a wasteful number, since it uses less digits than its factorization.

133012134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238433 (or 238414 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133012134000 its reverse (431210331), we get a palindrome (133443344331).

The spelling of 133012134000 in words is "one hundred thirty-three billion, twelve million, one hundred thirty-four thousand".