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132404321152 = 274773301489
BaseRepresentation
bin111101101001111101…
…0011001101110000000
3110122202111002102012101
41323103322121232000
54132131001234102
6140454204040144
712365050106005
oct1732372315600
9418674072171
10132404321152
1151174873204
12217b1b33054
13c64104427c
1465a09318ac
15369de8ee87
hex1ed3e99b80

132404321152 has 64 divisors (see below), whose sum is σ = 273077582400. Its totient is φ = 63905808384.

The previous prime is 132404321107. The next prime is 132404321171. The reversal of 132404321152 is 251123404231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 132404321152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288424 + ... + 589912.

It is an arithmetic number, because the mean of its divisors is an integer number (4266837225).

Almost surely, 2132404321152 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 132404321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136538791200).

132404321152 is an abundant number, since it is smaller than the sum of its proper divisors (140673261248).

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

132404321152 is an equidigital number, since it uses as much as digits as its factorization.

132404321152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301623 (or 301611 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 132404321152 its reverse (251123404231), we get a palindrome (383527725383).

The spelling of 132404321152 in words is "one hundred thirty-two billion, four hundred four million, three hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 64 73 94 128 146 188 292 376 584 752 1168 1504 2336 3008 3431 4672 6016 6862 9344 13724 27448 54896 109792 219584 301489 439168 602978 1205956 2411912 4823824 9647648 14169983 19295296 22008697 28339966 38590592 44017394 56679932 88034788 113359864 176069576 226719728 352139152 453439456 704278304 906878912 1034408759 1408556608 1813757824 2068817518 2817113216 4137635036 8275270072 16550540144 33101080288 66202160576 132404321152