Search a number
-
+
133351152 = 24311252559
BaseRepresentation
bin1111111001011…
…00011011110000
3100021220221101120
413330230123300
5233114214102
621122102240
73206315604
oct774543360
9307827346
10133351152
1169300770
12387aa980
132181cc0c
14139d3504
15ba916bc
hex7f2c6f0

133351152 has 40 divisors (see below), whose sum is σ = 375809280. Its totient is φ = 40409280.

The previous prime is 133351133. The next prime is 133351157. The reversal of 133351152 is 251153331.

133351152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133351157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125752 + ... + 126807.

It is an arithmetic number, because the mean of its divisors is an integer number (9395232).

Almost surely, 2133351152 is an apocalyptic number.

133351152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133351152 is an abundant number, since it is smaller than the sum of its proper divisors (242458128).

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

133351152 is a wasteful number, since it uses less digits than its factorization.

133351152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252581 (or 252575 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 133351152 is about 11547.7769289158. The cubic root of 133351152 is about 510.8957116026.

The spelling of 133351152 in words is "one hundred thirty-three million, three hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 252559 505118 757677 1010236 1515354 2020472 2778149 3030708 4040944 5556298 6061416 8334447 11112596 12122832 16668894 22225192 33337788 44450384 66675576 133351152