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133501144 = 23719125471
BaseRepresentation
bin1111111010100…
…01000011011000
3100022012120010211
413331101003120
5233134014034
621125220504
73210512110
oct775210330
9308176124
10133501144
11693a3427
1238861734
132187327a
1413a32040
15bac0d64
hex7f510d8

133501144 has 32 divisors (see below), whose sum is σ = 301132800. Its totient is φ = 54203040.

The previous prime is 133501141. The next prime is 133501189. The reversal of 133501144 is 441105331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133501141) 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, 61672 + ... + 63799.

It is an arithmetic number, because the mean of its divisors is an integer number (9410400).

Almost surely, 2133501144 is an apocalyptic number.

133501144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133501144 is an abundant number, since it is smaller than the sum of its proper divisors (167631656).

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

133501144 is a wasteful number, since it uses less digits than its factorization.

133501144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125503 (or 125499 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 133501144 is about 11554.2695139070. The cubic root of 133501144 is about 511.0871899047.

Adding to 133501144 its reverse (441105331), we get a palindrome (574606475).

The spelling of 133501144 in words is "one hundred thirty-three million, five hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 125471 250942 501884 878297 1003768 1756594 2383949 3513188 4767898 7026376 9535796 16687643 19071592 33375286 66750572 133501144