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132136716 = 223171973467
BaseRepresentation
bin1111110000000…
…11111100001100
3100012122020111110
413320003330030
5232311333331
621040052020
73163100145
oct770037414
9305566443
10132136716
11686512a8
1238304010
13214b620a
1413798acc
15b901946
hex7e03f0c

132136716 has 96 divisors (see below), whose sum is σ = 349090560. Its totient is φ = 38651904.

The previous prime is 132136709. The next prime is 132136717. The reversal of 132136716 is 617631231.

It is a super-2 number, since 2×1321367162 = 34920223430529312, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (132136717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282715 + ... + 283181.

It is an arithmetic number, because the mean of its divisors is an integer number (3636360).

Almost surely, 2132136716 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 132136716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174545280).

132136716 is an abundant number, since it is smaller than the sum of its proper divisors (216953844).

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

132136716 is a wasteful number, since it uses less digits than its factorization.

132136716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 581 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 132136716 is about 11495.0735534837. The cubic root of 132136716 is about 509.3400614424.

Adding to 132136716 its reverse (617631231), we get a palindrome (749767947).

The spelling of 132136716 in words is "one hundred thirty-two million, one hundred thirty-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 73 76 102 114 146 204 219 228 292 323 438 467 646 876 934 969 1241 1292 1387 1401 1868 1938 2482 2774 2802 3723 3876 4161 4964 5548 5604 7446 7939 8322 8873 14892 15878 16644 17746 23579 23817 26619 31756 34091 35492 47158 47634 53238 68182 70737 94316 95268 102273 106476 136364 141474 150841 204546 282948 301682 409092 452523 579547 603364 647729 905046 1159094 1295458 1738641 1810092 1943187 2318188 2590916 3477282 3886374 6954564 7772748 11011393 22022786 33034179 44045572 66068358 132136716