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133952 = 2671323
BaseRepresentation
bin100000101101000000
320210202012
4200231000
513241302
62512052
71065350
oct405500
9223665
10133952
1191705
1265628
1348c80
1436b60
1529a52
hex20b40

133952 has 56 divisors (see below), whose sum is σ = 341376. Its totient is φ = 50688.

The previous prime is 133949. The next prime is 133963. The reversal of 133952 is 259331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (23).

Its product of digits (810) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5813 + ... + 5835.

It is an arithmetic number, because the mean of its divisors is an integer number (6096).

2133952 is an apocalyptic number.

133952 is the 299-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688).

133952 is an abundant number, since it is smaller than the sum of its proper divisors (207424).

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

133952 is a wasteful number, since it uses less digits than its factorization.

133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 45 counting only the distinct ones).

The product of its digits is 810, while the sum is 23.

The square root of 133952 is about 365.9945354783. The cubic root of 133952 is about 51.1661886141.

The spelling of 133952 in words is "one hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 161 182 184 208 224 299 322 364 368 416 448 598 644 728 736 832 1196 1288 1456 1472 2093 2392 2576 2912 4186 4784 5152 5824 8372 9568 10304 16744 19136 33488 66976 133952