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132305520150 = 23352281348769
BaseRepresentation
bin111101100111000000…
…1100000011000010110
3110122111121011210201000
41323032001200120112
54131430203121100
6140440314244130
712362440236306
oct1731601403026
9418447153630
10132305520150
1151124020591
1221784a26646
13c62673043b
146591773606
153695475900
hex1ece060616

132305520150 has 96 divisors (see below), whose sum is σ = 365873680800. Its totient is φ = 35155814400.

The previous prime is 132305520131. The next prime is 132305520167. The reversal of 132305520150 is 51025503231.

It is a happy number.

132305520150 is a `hidden beast` number, since 1 + 32 + 30 + 552 + 0 + 1 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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, 204966 + ... + 553734.

It is an arithmetic number, because the mean of its divisors is an integer number (3811184175).

Almost surely, 2132305520150 is an apocalyptic number.

132305520150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132305520150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182936840400).

132305520150 is an abundant number, since it is smaller than the sum of its proper divisors (233568160650).

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

132305520150 is a wasteful number, since it uses less digits than its factorization.

132305520150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349071 (or 349060 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 132305520150 in words is "one hundred thirty-two billion, three hundred five million, five hundred twenty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 281 450 562 675 843 1350 1405 1686 2529 2810 4215 5058 7025 7587 8430 12645 14050 15174 21075 25290 37935 42150 63225 75870 126450 189675 348769 379350 697538 1046307 1743845 2092614 3138921 3487690 5231535 6277842 8719225 9416763 10463070 15694605 17438450 18833526 26157675 31389210 47083815 52315350 78473025 94167630 98004089 156946050 196008178 235419075 294012267 470838150 490020445 588024534 882036801 980040890 1470061335 1764073602 2450102225 2646110403 2940122670 4410184005 4900204450 5292220806 7350306675 8820368010 13230552015 14700613350 22050920025 26461104030 44101840050 66152760075 132305520150