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132925086720 = 2103352971467
BaseRepresentation
bin111101111001011110…
…0111101110000000000
3110201002210000001021000
41323302330331300000
54134212310233340
6141022005532000
712414002410656
oct1736274756000
9421083001230
10132925086720
1151411823078
1221918414000
13c6c4bba08a
14660db70dd6
1536cea5ad30
hex1ef2f3dc00

132925086720 has 704 divisors, whose sum is σ = 496625126400. Its totient is φ = 33670103040.

The previous prime is 132925086719. The next prime is 132925086737. The reversal of 132925086720 is 27680529231.

132925086720 is a `hidden beast` number, since 1 + 32 + 92 + 508 + 6 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284635927 + ... + 284636393.

Almost surely, 2132925086720 is an apocalyptic number.

132925086720 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 132925086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248312563200).

132925086720 is an abundant number, since it is smaller than the sum of its proper divisors (363700039680).

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

132925086720 is a wasteful number, since it uses less digits than its factorization.

132925086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 132925086720 in words is "one hundred thirty-two billion, nine hundred twenty-five million, eighty-six thousand, seven hundred twenty".