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132737484025040 = 24538916972513461
BaseRepresentation
bin11110001011100101011010…
…100101010110110011010000
3122101222120122111011022011112
4132023211122211112303100
5114344232331402300130
61150150431445032452
736646652411042066
oct3613453245266320
9571876574138145
10132737484025040
11393267183004a4
1212a794b69b5728
13590b12500525b
1424ac758312036
151052c172d1495
hex78b95a956cd0

132737484025040 has 80 divisors (see below), whose sum is σ = 309590453849040. Its totient is φ = 52927274434560.

The previous prime is 132737484025021. The next prime is 132737484025087. The reversal of 132737484025040 is 40520484737231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 978215946304 + 131759268078736 = 989048^2 + 11478644^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1327374840250403 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132737484025040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51553910 + ... + 54067370.

It is an arithmetic number, because the mean of its divisors is an integer number (3869880673113).

Almost surely, 2132737484025040 is an apocalyptic number.

132737484025040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132737484025040 is an abundant number, since it is smaller than the sum of its proper divisors (176852969824000).

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

132737484025040 is a wasteful number, since it uses less digits than its factorization.

132737484025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515560 (or 2515554 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 50.

The spelling of 132737484025040 in words is "one hundred thirty-two trillion, seven hundred thirty-seven billion, four hundred eighty-four million, twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 389 778 1556 1697 1945 3112 3394 3890 6224 6788 7780 8485 13576 15560 16970 27152 31120 33940 67880 135760 660133 1320266 2513461 2640532 3300665 5026922 5281064 6601330 10053844 10562128 12567305 13202660 20107688 25134610 26405320 40215376 50269220 52810640 100538440 201076880 977736329 1955472658 3910945316 4265343317 4888681645 7821890632 8530686634 9777363290 15643781264 17061373268 19554726580 21326716585 34122746536 39109453160 42653433170 68245493072 78218906320 85306866340 170613732680 341227465360 1659218550313 3318437100626 6636874201252 8296092751565 13273748402504 16592185503130 26547496805008 33184371006260 66368742012520 132737484025040