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133057 = 1947149
BaseRepresentation
bin100000011111000001
320202112001
4200133001
513224212
62504001
71062631
oct403701
9222461
10133057
1190a71
1265001
1348742
14366c1
1529657
hex207c1

133057 has 8 divisors (see below), whose sum is σ = 144000. Its totient is φ = 122544.

The previous prime is 133051. The next prime is 133069. The reversal of 133057 is 750331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133057 - 27 = 132929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2133057 is an apocalyptic number.

133057 is the 298-th pentagonal number.

It is an amenable number.

133057 is a deficient number, since it is larger than the sum of its proper divisors (10943).

133057 is a wasteful number, since it uses less digits than its factorization.

133057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 133057 is about 364.7697904158. The cubic root of 133057 is about 51.0519782767.

Adding to 133057 its reverse (750331), we get a palindrome (883388).

The spelling of 133057 in words is "one hundred thirty-three thousand, fifty-seven".

Divisors: 1 19 47 149 893 2831 7003 133057