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134535672 = 233212714713
BaseRepresentation
bin10000000010011…
…01100111111000
3100101011010020200
420001031213320
5233420120142
621203322200
73222351165
oct1001154770
9311133220
10134535672
1169a3a707
1239080360
1321b4610b
1413c2106c
15bc2764c
hex804d9f8

134535672 has 48 divisors (see below), whose sum is σ = 367261440. Its totient is φ = 44489088.

The previous prime is 134535649. The next prime is 134535679. The reversal of 134535672 is 276535431.

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 (134535679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1788 + ... + 16500.

It is an arithmetic number, because the mean of its divisors is an integer number (7651280).

Almost surely, 2134535672 is an apocalyptic number.

134535672 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 134535672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183630720).

134535672 is an abundant number, since it is smaller than the sum of its proper divisors (232725768).

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

134535672 is a wasteful number, since it uses less digits than its factorization.

134535672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14852 (or 14845 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 134535672 is about 11598.9513319093. The cubic root of 134535672 is about 512.4039678881.

The spelling of 134535672 in words is "one hundred thirty-four million, five hundred thirty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 14713 29426 44139 58852 88278 117704 132417 176556 264834 353112 529668 1059336 1868551 3737102 5605653 7474204 11211306 14948408 16816959 22422612 33633918 44845224 67267836 134535672