Search a number
-
+
134708484456 = 233372132127593
BaseRepresentation
bin111110101110101000…
…0000101100101101000
3110212201001210001001000
41331131100011211220
54201340333000311
6141514554155000
712506126140200
oct1753520054550
9425631701030
10134708484456
11521474781a7
1222135722a60
13c91a516400
14673c965400
1537863d5056
hex1f5d405968

134708484456 has 576 divisors, whose sum is σ = 475853875200. Its totient is φ = 35188328448.

The previous prime is 134708484451. The next prime is 134708484499. The reversal of 134708484456 is 654484807431.

134708484456 is a `hidden beast` number, since 1 + 3 + 470 + 84 + 8 + 44 + 56 = 666.

It is a super-3 number, since 3×1347084844563 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (134708484451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 227164096 + ... + 227164688.

It is an arithmetic number, because the mean of its divisors is an integer number (826135200).

Almost surely, 2134708484456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134708484456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237926937600).

134708484456 is an abundant number, since it is smaller than the sum of its proper divisors (341145390744).

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

134708484456 is a wasteful number, since it uses less digits than its factorization.

134708484456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 134708484456 in words is "one hundred thirty-four billion, seven hundred eight million, four hundred eighty-four thousand, four hundred fifty-six".