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133132000 = 255383401
BaseRepresentation
bin1111110111101…
…10111011100000
3100021111210202211
413323312323200
5233040211000
621113251504
73204413641
oct773667340
9307453684
10133132000
1169171051
1238703b94
1321774241
14139776c8
15ba4b7ba
hex7ef6ee0

133132000 has 96 divisors (see below), whose sum is σ = 331871904. Its totient is φ = 52480000.

The previous prime is 133131997. The next prime is 133132001. The reversal of 133132000 is 231331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133132001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331800 + ... + 332200.

It is an arithmetic number, because the mean of its divisors is an integer number (3456999).

Almost surely, 2133132000 is an apocalyptic number.

133132000 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 133132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165935952).

133132000 is an abundant number, since it is smaller than the sum of its proper divisors (198739904).

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

133132000 is an equidigital number, since it uses as much as digits as its factorization.

133132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 133132000 is about 11538.2841011998. The cubic root of 133132000 is about 510.6156860062.

Adding to 133132000 its reverse (231331), we get a palindrome (133363331).

The spelling of 133132000 in words is "one hundred thirty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 200 250 332 400 401 415 500 664 800 802 830 1000 1328 1604 1660 2000 2005 2075 2656 3208 3320 4000 4010 4150 6416 6640 8020 8300 10025 10375 12832 13280 16040 16600 20050 20750 32080 33200 33283 40100 41500 50125 64160 66400 66566 80200 83000 100250 133132 160400 166000 166415 200500 266264 320800 332000 332830 401000 532528 665660 802000 832075 1065056 1331320 1604000 1664150 2662640 3328300 4160375 5325280 6656600 8320750 13313200 16641500 26626400 33283000 66566000 133132000