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132240036764000 = 255311176779127263
BaseRepresentation
bin11110000100010110001000…
…011010101001100101100000
3122100020000122112101011110102
4132010112020122221211200
5114313110043402422000
61145130122331521532
736566012250064154
oct3604261032514540
9570200575334412
10132240036764000
1139154759298620
12129b90088b92a8
1358a32499c0909
14249264814b064
151044d008453d5
hex7845886a9960

132240036764000 has 1536 divisors, whose sum is σ = 390239921111040. Its totient is φ = 43506118656000.

The previous prime is 132240036763969. The next prime is 132240036764053. The reversal of 132240036764000 is 467630042231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 502813827869 + ... + 502813828131.

It is an arithmetic number, because the mean of its divisors is an integer number (254062448640).

Almost surely, 2132240036764000 is an apocalyptic number.

132240036764000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132240036764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195119960555520).

132240036764000 is an abundant number, since it is smaller than the sum of its proper divisors (257999884347040).

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

132240036764000 is a wasteful number, since it uses less digits than its factorization.

132240036764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 132240036764000 in words is "one hundred thirty-two trillion, two hundred forty billion, thirty-six million, seven hundred sixty-four thousand".