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133494150240 = 25325112292911
BaseRepresentation
bin111110001010011011…
…1110001010001100000
3110202120102210110122200
41330110313301101200
54141344000301430
6141154254533200
712434052361203
oct1742467612140
9422512713580
10133494150240
1151683a70a00
1221a56b07200
13c785a73659
14666558393a
1537149b7460
hex1f14df1460

133494150240 has 648 divisors, whose sum is σ = 519158281824. Its totient is φ = 31211980800.

The previous prime is 133494150221. The next prime is 133494150253. The reversal of 133494150240 is 42051494331.

133494150240 is a `hidden beast` number, since 1 + 33 + 49 + 41 + 502 + 40 = 666.

133494150240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 133494150195 and 133494150204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146535385 + ... + 146536295.

It is an arithmetic number, because the mean of its divisors is an integer number (801170188).

Almost surely, 2133494150240 is an apocalyptic number.

133494150240 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 133494150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259579140912).

133494150240 is an abundant number, since it is smaller than the sum of its proper divisors (385664131584).

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

133494150240 is a wasteful number, since it uses less digits than its factorization.

133494150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 961 counting only the distinct ones).

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

The spelling of 133494150240 in words is "one hundred thirty-three billion, four hundred ninety-four million, one hundred fifty thousand, two hundred forty".