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132335144335134 = 23613193111853839
BaseRepresentation
bin11110000101101110101101…
…010001001111011100011110
3122100120010010202001101000000
4132011232231101033130132
5114321134333422211014
61145241532005115130
736605620146102516
oct3605565521173436
9570503122041000
10132335144335134
1139191024009484
1212a135300b8aa6
1358ac1c5a36420
1424970ab50c846
15104751a2c6509
hex785bad44f71e

132335144335134 has 224 divisors, whose sum is σ = 348263922585600. Its totient is φ = 37331054936640.

The previous prime is 132335144335133. The next prime is 132335144335259. The reversal of 132335144335134 is 431533441533231.

132335144335134 is a `hidden beast` number, since 1 + 3 + 2 + 33 + 51 + 4 + 433 + 5 + 134 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 132335144335134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132335144335133) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5236987 + ... + 17090825.

It is an arithmetic number, because the mean of its divisors is an integer number (1554749654400).

Almost surely, 2132335144335134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132335144335134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174131961292800).

132335144335134 is an abundant number, since it is smaller than the sum of its proper divisors (215928778250466).

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

132335144335134 is a wasteful number, since it uses less digits than its factorization.

132335144335134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11853922 (or 11853907 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

Adding to 132335144335134 its reverse (431533441533231), we get a palindrome (563868585868365).

The spelling of 132335144335134 in words is "one hundred thirty-two trillion, three hundred thirty-five billion, one hundred forty-four million, three hundred thirty-five thousand, one hundred thirty-four".