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134536032 = 2533315023
BaseRepresentation
bin10000000010011…
…01101101100000
3100101011010202000
420001031231200
5233420123112
621203324000
73222352221
oct1001155540
9311133660
10134536032
1169a3aa04
1239080600
1321b46327
1413c21248
15bc277dc
hex804db60

134536032 has 96 divisors (see below), whose sum is σ = 405135360. Its totient is φ = 43390080.

The previous prime is 134536021. The next prime is 134536057. The reversal of 134536032 is 230635431.

It is a happy number.

134536032 is a `hidden beast` number, since 1 + 3 + 4 + 53 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134535987 and 134536005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24273 + ... + 29295.

It is an arithmetic number, because the mean of its divisors is an integer number (4220160).

Almost surely, 2134536032 is an apocalyptic number.

134536032 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 134536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202567680).

134536032 is an abundant number, since it is smaller than the sum of its proper divisors (270599328).

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

134536032 is a wasteful number, since it uses less digits than its factorization.

134536032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 134536032 is about 11598.9668505432. The cubic root of 134536032 is about 512.4044249298.

The spelling of 134536032 in words is "one hundred thirty-four million, five hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 5023 6696 8928 10046 13392 15069 20092 26784 30138 40184 45207 60276 80368 90414 120552 135621 155713 160736 180828 241104 271242 311426 361656 467139 482208 542484 622852 723312 934278 1084968 1245704 1401417 1446624 1868556 2169936 2491408 2802834 3737112 4204251 4339872 4982816 5605668 7474224 8408502 11211336 14948448 16817004 22422672 33634008 44845344 67268016 134536032