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132125430144 = 2732053167597
BaseRepresentation
bin111101100001101001…
…0100001000110000000
3110122001001022021122210
41323003102201012000
54131043102231034
6140410402302120
712355122424461
oct1730322410600
9418031267583
10132125430144
11510413a7274
1221734657940
13c5c83275c6
146575894d68
1536847508e9
hex1ec34a1180

132125430144 has 64 divisors (see below), whose sum is σ = 351131217840. Its totient is φ = 44020094976.

The previous prime is 132125430113. The next prime is 132125430149. The reversal of 132125430144 is 441034521231.

132125430144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132125430149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 704554 + ... + 872150.

Almost surely, 2132125430144 is an apocalyptic number.

It is an amenable number.

132125430144 is an abundant number, since it is smaller than the sum of its proper divisors (219005787696).

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

132125430144 is a wasteful number, since it uses less digits than its factorization.

132125430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169667 (or 169655 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 132125430144 its reverse (441034521231), we get a palindrome (573159951375).

The spelling of 132125430144 in words is "one hundred thirty-two billion, one hundred twenty-five million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2053 4106 6159 8212 12318 16424 24636 32848 49272 65696 98544 131392 167597 197088 262784 335194 394176 502791 670388 788352 1005582 1340776 2011164 2681552 4022328 5363104 8044656 10726208 16089312 21452416 32178624 64357248 344076641 688153282 1032229923 1376306564 2064459846 2752613128 4128919692 5505226256 8257839384 11010452512 16515678768 22020905024 33031357536 44041810048 66062715072 132125430144