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134955252 = 2232191911033
BaseRepresentation
bin10000000101101…
…00000011110100
3100101221102210200
420002310003310
5234022032002
621220320500
73226046355
oct1002640364
9311842720
10134955252
116a1a6973
1239243130
1321c620a3
1413ccdd2c
15bcabb1c
hex80b40f4

134955252 has 72 divisors (see below), whose sum is σ = 361320960. Its totient is φ = 42353280.

The previous prime is 134955221. The next prime is 134955253. The reversal of 134955252 is 252559431.

It is a happy number.

134955252 is a `hidden beast` number, since 13 + 49 + 552 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134955253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130128 + ... + 131160.

Almost surely, 2134955252 is an apocalyptic number.

134955252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134955252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180660480).

134955252 is an abundant number, since it is smaller than the sum of its proper divisors (226365708).

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

134955252 is a wasteful number, since it uses less digits than its factorization.

134955252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1248 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 134955252 is about 11617.0242317041. The cubic root of 134955252 is about 512.9360977366.

The spelling of 134955252 in words is "one hundred thirty-four million, nine hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 191 228 342 382 573 684 764 1033 1146 1719 2066 2292 3099 3438 3629 4132 6198 6876 7258 9297 10887 12396 14516 18594 19627 21774 32661 37188 39254 43548 58881 65322 78508 117762 130644 176643 197303 235524 353286 394606 591909 706572 789212 1183818 1775727 2367636 3551454 3748757 7102908 7497514 11246271 14995028 22492542 33738813 44985084 67477626 134955252