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132541500 = 22353713971
BaseRepresentation
bin1111110011001…
…10110000111100
3100020101210202110
413321212300330
5232412312000
621052454020
73166404240
oct771466074
9306353673
10132541500
11688a8433
123847a310
13215c8530
1413862420
15b981850
hex7e66c3c

132541500 has 192 divisors, whose sum is σ = 475517952. Its totient is φ = 27936000.

The previous prime is 132541489. The next prime is 132541517. The reversal of 132541500 is 5145231.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 136015 + ... + 136985.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2132541500 is an apocalyptic number.

132541500 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 132541500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

132541500 is an abundant number, since it is smaller than the sum of its proper divisors (342976452).

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

132541500 is a wasteful number, since it uses less digits than its factorization.

132541500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 132541500 is about 11512.6669369004. Note that the first 3 decimals coincide. The cubic root of 132541500 is about 509.8596307271.

Adding to 132541500 its reverse (5145231), we get a palindrome (137686731).

The spelling of 132541500 in words is "one hundred thirty-two million, five hundred forty-one thousand, five hundred".