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134216721360 = 24345792391097
BaseRepresentation
bin111110011111111110…
…0001010001111010000
3110211102210102212220000
41330333330022033100
54144333440040420
6141354110050000
712461005210431
oct1747774121720
9424383385800
10134216721360
1151a14927317
1222018aa9900
13c86c686527
1466d3515488
153758147690
hex1f3ff0a3d0

134216721360 has 400 divisors, whose sum is σ = 474462489600. Its totient is φ = 35158136832.

The previous prime is 134216721341. The next prime is 134216721371. The reversal of 134216721360 is 63127612431.

134216721360 is a `hidden beast` number, since 13 + 4 + 216 + 72 + 1 + 360 = 666.

134216721360 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122348332 + ... + 122349428.

It is an arithmetic number, because the mean of its divisors is an integer number (1186156224).

Almost surely, 2134216721360 is an apocalyptic number.

134216721360 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 134216721360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237231244800).

134216721360 is an abundant number, since it is smaller than the sum of its proper divisors (340245768240).

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

134216721360 is a wasteful number, since it uses less digits than its factorization.

134216721360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 134216721360 in words is "one hundred thirty-four billion, two hundred sixteen million, seven hundred twenty-one thousand, three hundred sixty".