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132134208 = 26319291249
BaseRepresentation
bin1111110000000…
…11010101000000
3100012122010001120
413320003111000
5232311243313
621040032240
73163056633
oct770032500
9305563046
10132134208
116864a428
1238302680
13214b502b
1413797c1a
15b900d23
hex7e03540

132134208 has 112 divisors (see below), whose sum is σ = 381000000. Its totient is φ = 40255488.

The previous prime is 132134201. The next prime is 132134213. The reversal of 132134208 is 802431231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132134201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105168 + ... + 106416.

Almost surely, 2132134208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190500000).

132134208 is an abundant number, since it is smaller than the sum of its proper divisors (248865792).

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

132134208 is a wasteful number, since it uses less digits than its factorization.

132134208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 132134208 is about 11494.9644627550. The cubic root of 132134208 is about 509.3368389392.

Adding to 132134208 its reverse (802431231), we get a palindrome (934565439).

The spelling of 132134208 in words is "one hundred thirty-two million, one hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 152 174 192 228 232 304 348 456 464 551 608 696 912 928 1102 1216 1249 1392 1653 1824 1856 2204 2498 2784 3306 3648 3747 4408 4996 5568 6612 7494 8816 9992 13224 14988 17632 19984 23731 26448 29976 35264 36221 39968 47462 52896 59952 71193 72442 79936 94924 105792 108663 119904 142386 144884 189848 217326 239808 284772 289768 379696 434652 569544 579536 688199 759392 869304 1139088 1159072 1376398 1518784 1738608 2064597 2278176 2318144 2752796 3477216 4129194 4556352 5505592 6954432 8258388 11011184 16516776 22022368 33033552 44044736 66067104 132134208