Search a number
-
+
132460541136 = 24337112563643
BaseRepresentation
bin111101101011101000…
…0110111010011010000
3110122220101212200112000
41323113100313103100
54132234344304021
6140503533034000
712366332010450
oct1732720672320
9418811780460
10132460541136
11511a3582100
1221808925900
13c64c899831
1465a81a7d60
1536a3d97b26
hex1ed74374d0

132460541136 has 480 divisors, whose sum is σ = 479212661760. Its totient is φ = 34290812160.

The previous prime is 132460541089. The next prime is 132460541137. The reversal of 132460541136 is 631145064231.

132460541136 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 605 + 4 + 11 + 36 = 666.

132460541136 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 self number, because there is not a number n which added to its sum of digits gives 132460541136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132460541137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206003631 + ... + 206004273.

It is an arithmetic number, because the mean of its divisors is an integer number (998359712).

Almost surely, 2132460541136 is an apocalyptic number.

132460541136 is a gapful number since it is divisible by the number (16) 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 132460541136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239606330880).

132460541136 is an abundant number, since it is smaller than the sum of its proper divisors (346752120624).

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

132460541136 is a wasteful number, since it uses less digits than its factorization.

132460541136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1229 counting only the distinct ones).

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

The spelling of 132460541136 in words is "one hundred thirty-two billion, four hundred sixty million, five hundred forty-one thousand, one hundred thirty-six".