Search a number
-
+
133375144 = 2373176829
BaseRepresentation
bin1111111001100…
…10010010101000
3100021222011022011
413330302102220
5233121001034
621122405304
73206445550
oct774622250
9307864264
10133375144
11693177a1
1238800834
132182ab06
14139dc160
15ba98864
hex7f324a8

133375144 has 32 divisors (see below), whose sum is σ = 295027200. Its totient is φ = 55316160.

The previous prime is 133375103. The next prime is 133375153. The reversal of 133375144 is 441573331.

133375144 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 (31).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36679 + ... + 40150.

It is an arithmetic number, because the mean of its divisors is an integer number (9219600).

Almost surely, 2133375144 is an apocalyptic number.

133375144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133375144 is an abundant number, since it is smaller than the sum of its proper divisors (161652056).

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

133375144 is a wasteful number, since it uses less digits than its factorization.

133375144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76873 (or 76869 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 133375144 is about 11548.8156968583. The cubic root of 133375144 is about 510.9263491954.

It can be divided in two parts, 13337 and 5144, that added together give a palindrome (18481).

The spelling of 133375144 in words is "one hundred thirty-three million, three hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 76829 153658 307316 537803 614632 1075606 2151212 2381699 4302424 4763398 9526796 16671893 19053592 33343786 66687572 133375144