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132557081004500 = 22531034943520721
BaseRepresentation
bin11110001000111101011001…
…101110011100100111010100
3122101100022222220001022200012
4132020331121232130213110
5114333303400214121000
61145531514330135352
736630635016500015
oct3610753156344724
9571308886038605
10132557081004500
113926716251aa99
1212a4a54a281558
1358c7104a32619
1424a3b22ba700c
15104d1a9519735
hex788f59b9c9d4

132557081004500 has 96 divisors (see below), whose sum is σ = 292375088538624. Its totient is φ = 52497324096000.

The previous prime is 132557081004473. The next prime is 132557081004533. The reversal of 132557081004500 is 5400180755231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254304140 + ... + 254824860.

It is an arithmetic number, because the mean of its divisors is an integer number (3045573838944).

Almost surely, 2132557081004500 is an apocalyptic number.

132557081004500 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 132557081004500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146187544269312).

132557081004500 is an abundant number, since it is smaller than the sum of its proper divisors (159818007534124).

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

132557081004500 is a wasteful number, since it uses less digits than its factorization.

132557081004500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525786 (or 525774 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

The spelling of 132557081004500 in words is "one hundred thirty-two trillion, five hundred fifty-seven billion, eighty-one million, four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 125 206 250 412 500 515 1030 2060 2575 4943 5150 9886 10300 12875 19772 24715 25750 49430 51500 98860 123575 247150 494300 509129 520721 617875 1018258 1041442 1235750 2036516 2082884 2471500 2545645 2603605 5091290 5207210 10182580 10414420 12728225 13018025 25456450 26036050 50912900 52072100 53634263 63641125 65090125 107268526 127282250 130180250 214537052 254564500 260360500 268171315 536342630 1072685260 1340856575 2573923903 2681713150 5147847806 5363426300 6704282875 10295695612 12869619515 13408565750 25739239030 26817131500 51478478060 64348097575 128696195150 257392390300 265114162009 321740487875 530228324018 643480975750 1060456648036 1286961951500 1325570810045 2651141620090 5302283240180 6627854050225 13255708100450 26511416200900 33139270251125 66278540502250 132557081004500