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133141400 = 2352795101
BaseRepresentation
bin1111110111110…
…01001110011000
3100021112021122222
413323321032120
5233041011100
621113403212
73204453230
oct773711630
9307467588
10133141400
1169178117
1238709508
13217785c2
141397acc0
15ba4e485
hex7ef9398

133141400 has 48 divisors (see below), whose sum is σ = 353779440. Its totient is φ = 45648000.

The previous prime is 133141397. The next prime is 133141409. The reversal of 133141400 is 4141331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133141409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46151 + ... + 48950.

It is an arithmetic number, because the mean of its divisors is an integer number (7370405).

Almost surely, 2133141400 is an apocalyptic number.

133141400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133141400 is an abundant number, since it is smaller than the sum of its proper divisors (220638040).

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

133141400 is a wasteful number, since it uses less digits than its factorization.

133141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95124 (or 95115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 133141400 is about 11538.6914336072. The cubic root of 133141400 is about 510.6277033386.

Adding to 133141400 its reverse (4141331), we get a palindrome (137282731).

It can be divided in two parts, 13 and 3141400, that added together give a palindrome (3141413).

The spelling of 133141400 in words is "one hundred thirty-three million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 95101 190202 380404 475505 665707 760808 951010 1331414 1902020 2377525 2662828 3328535 3804040 4755050 5325656 6657070 9510100 13314140 16642675 19020200 26628280 33285350 66570700 133141400