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134527752 = 233219293391
BaseRepresentation
bin10000000010010…
…11101100001000
3100101010201101100
420001023230020
5233414342002
621203221400
73222316122
oct1001135410
9311121340
10134527752
1169a34767
1239077860
1321b42628
1413c1c212
15bc2511c
hex804bb08

134527752 has 96 divisors (see below), whose sum is σ = 396864000. Its totient is φ = 41005440.

The previous prime is 134527751. The next prime is 134527763. The reversal of 134527752 is 257725431.

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

It is not an unprimeable number, because it can be changed into a prime (134527751) 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, 37977 + ... + 41367.

It is an arithmetic number, because the mean of its divisors is an integer number (4134000).

Almost surely, 2134527752 is an apocalyptic number.

134527752 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 134527752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198432000).

134527752 is an abundant number, since it is smaller than the sum of its proper divisors (262336248).

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

134527752 is a wasteful number, since it uses less digits than its factorization.

134527752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3444 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 134527752 is about 11598.6099167098. The cubic root of 134527752 is about 512.3939127629.

The spelling of 134527752 in words is "one hundred thirty-four million, five hundred twenty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 29 36 38 57 58 72 76 87 114 116 152 171 174 228 232 261 342 348 456 522 551 684 696 1044 1102 1368 1653 2088 2204 3306 3391 4408 4959 6612 6782 9918 10173 13224 13564 19836 20346 27128 30519 39672 40692 61038 64429 81384 98339 122076 128858 193287 196678 244152 257716 295017 386574 393356 515432 579861 590034 773148 786712 885051 1159722 1180068 1546296 1770102 1868441 2319444 2360136 3540204 3736882 4638888 5605323 7080408 7473764 11210646 14947528 16815969 22421292 33631938 44842584 67263876 134527752