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133140220 = 225191013469
BaseRepresentation
bin1111110111110…
…00111011111100
3100021112020001021
413323320323330
5233040441340
621113353524
73204446623
oct773707374
9307466037
10133140220
1169177244
12387088a4
1321777bc5
141397a6ba
15ba4de4a
hex7ef8efc

133140220 has 48 divisors (see below), whose sum is σ = 297309600. Its totient is φ = 49939200.

The previous prime is 133140199. The next prime is 133140221. The reversal of 133140220 is 22041331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133140194 and 133140203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133140221) 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, 36646 + ... + 40114.

It is an arithmetic number, because the mean of its divisors is an integer number (6193950).

Almost surely, 2133140220 is an apocalyptic number.

133140220 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 133140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148654800).

133140220 is an abundant number, since it is smaller than the sum of its proper divisors (164169380).

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

133140220 is a wasteful number, since it uses less digits than its factorization.

133140220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 133140220 is about 11538.6403011793. The cubic root of 133140220 is about 510.6261948109.

Adding to 133140220 its reverse (22041331), we get a palindrome (155181551).

The spelling of 133140220 in words is "one hundred thirty-three million, one hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 505 1010 1919 2020 3469 3838 6938 7676 9595 13876 17345 19190 34690 38380 65911 69380 131822 263644 329555 350369 659110 700738 1318220 1401476 1751845 3503690 6657011 7007380 13314022 26628044 33285055 66570110 133140220