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132320773440 = 26325371319479
BaseRepresentation
bin111101100111011101…
…1101100010101000000
3110122112122212202021200
41323032323230111000
54131443104222230
6140442021221200
712363014005452
oct1731673542500
9418478782250
10132320773440
1151131699609
1221789b61800
13c62994115b
1465937c42d2
15369698a160
hex1eceeec540

132320773440 has 336 divisors, whose sum is σ = 471046942080. Its totient is φ = 34066206720.

The previous prime is 132320773423. The next prime is 132320773469. The reversal of 132320773440 is 44377023231.

132320773440 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 207 + 7 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132320773395 and 132320773404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13954621 + ... + 13964099.

Almost surely, 2132320773440 is an apocalyptic number.

132320773440 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 132320773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235523471040).

132320773440 is an abundant number, since it is smaller than the sum of its proper divisors (338726168640).

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

132320773440 is a wasteful number, since it uses less digits than its factorization.

132320773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670 (or 9657 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

Adding to 132320773440 its reverse (44377023231), we get a palindrome (176697796671).

The spelling of 132320773440 in words is "one hundred thirty-two billion, three hundred twenty million, seven hundred seventy-three thousand, four hundred forty".