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132897535680 = 26357133121583
BaseRepresentation
bin111101111000101001…
…1110111011011000000
3110201000212011022100010
41323301103313123000
54134133232120210
6141015143224520
712413216262150
oct1736123673300
9421025138303
10132897535680
11513a8215618
122190b148140
13c6bc2919a0
14660a23c760
1536cc417920
hex1ef14f76c0

132897535680 has 672 divisors, whose sum is σ = 536954406912. Its totient is φ = 27118264320.

The previous prime is 132897535643. The next prime is 132897535769. The reversal of 132897535680 is 86535798231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 132897535680.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83952169 + ... + 83953751.

It is an arithmetic number, because the mean of its divisors is an integer number (799039296).

Almost surely, 2132897535680 is an apocalyptic number.

132897535680 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 132897535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268477203456).

132897535680 is an abundant number, since it is smaller than the sum of its proper divisors (404056871232).

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

132897535680 is a wasteful number, since it uses less digits than its factorization.

132897535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 132897535680 in words is "one hundred thirty-two billion, eight hundred ninety-seven million, five hundred thirty-five thousand, six hundred eighty".