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132135113025 = 33521031900541
BaseRepresentation
bin111101100001111011…
…1011101000101000001
3110122001201112020002000
41323003313131011001
54131103042104100
6140411350014213
712355300633446
oct1730367350501
9418051466060
10132135113025
1151046910153
1221737947369
13c5ca337a16
146576c959cd
153685514900
hex1ec3ddd141

132135113025 has 48 divisors (see below), whose sum is σ = 245093896320. Its totient is φ = 69787828800.

The previous prime is 132135113023. The next prime is 132135113041. The reversal of 132135113025 is 520311531231.

132135113025 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 351 + 1 + 302 + 5 = 666.

It is not a de Polignac number, because 132135113025 - 21 = 132135113023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 132135113025.

It is not an unprimeable number, because it can be changed into a prime (132135113021) 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, 880746 + ... + 1019795.

It is an arithmetic number, because the mean of its divisors is an integer number (5106122840).

Almost surely, 2132135113025 is an apocalyptic number.

132135113025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132135113025 is a deficient number, since it is larger than the sum of its proper divisors (112958783295).

132135113025 is a wasteful number, since it uses less digits than its factorization.

132135113025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900663 (or 1900652 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 132135113025 its reverse (520311531231), we get a palindrome (652446644256).

The spelling of 132135113025 in words is "one hundred thirty-two billion, one hundred thirty-five million, one hundred thirteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 103 135 225 309 515 675 927 1545 2575 2781 4635 7725 13905 23175 69525 1900541 5701623 9502705 17104869 28508115 47513525 51314607 85524345 142540575 195755723 256573035 427621725 587267169 978778615 1282865175 1761801507 2936335845 4893893075 5285404521 8809007535 14681679225 26427022605 44045037675 132135113025