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134504214480 = 243253710349019
BaseRepresentation
bin111110101000100010…
…0110110111111010000
3110212011211102001022100
41331101010312333100
54200431034330410
6141442420040400
712501065646666
oct1752104667720
9425154361270
10134504214480
1152052139139
1222099233100
13c8b70c56bc
14671d790c36
1537734d58c0
hex1f51136fd0

134504214480 has 240 divisors, whose sum is σ = 468431982720. Its totient is φ = 34558866432.

The previous prime is 134504214409. The next prime is 134504214487. The reversal of 134504214480 is 84412405431.

134504214480 is a `hidden beast` number, since 1 + 3 + 4 + 504 + 2 + 144 + 8 + 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134504214487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2719411 + ... + 2768429.

It is an arithmetic number, because the mean of its divisors is an integer number (1951799928).

Almost surely, 2134504214480 is an apocalyptic number.

134504214480 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 134504214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234215991360).

134504214480 is an abundant number, since it is smaller than the sum of its proper divisors (333927768240).

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

134504214480 is a wasteful number, since it uses less digits than its factorization.

134504214480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49178 (or 49169 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 134504214480 in words is "one hundred thirty-four billion, five hundred four million, two hundred fourteen thousand, four hundred eighty".