Search a number
-
+
132151130155136 = 271967380740651
BaseRepresentation
bin11110000011000011010101…
…001010110110100010000000
3122022220112011110220111000002
4132003003111022312202000
5114310131003304431021
61145021220250415132
736556414125266651
oct3603032512664200
9568815143814002
10132151130155136
113911aa85888474
12129a39361314a8
135897a4b577151
14248c21254b528
15104284a49650b
hex7830d52b6880

132151130155136 has 64 divisors (see below), whose sum is σ = 277537917184800. Its totient is φ = 62504889753600.

The previous prime is 132151130155129. The next prime is 132151130155151. The reversal of 132151130155136 is 631551031151231.

132151130155136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 132151130155136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38733590 + ... + 42007061.

Almost surely, 2132151130155136 is an apocalyptic number.

132151130155136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132151130155136 is an abundant number, since it is smaller than the sum of its proper divisors (145386787029664).

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

132151130155136 is an equidigital number, since it uses as much as digits as its factorization.

132151130155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80741357 (or 80741345 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 38.

The spelling of 132151130155136 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred thirty million, one hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 673 1216 1346 2432 2692 5384 10768 12787 21536 25574 43072 51148 86144 102296 204592 409184 818368 1636736 80740651 161481302 322962604 645925208 1291850416 1534072369 2583700832 3068144738 5167401664 6136289476 10334803328 12272578952 24545157904 49090315808 54338458123 98180631616 108676916246 196361263232 217353832492 434707664984 869415329968 1032430704337 1738830659936 2064861408674 3477661319872 4129722817348 6955322639744 8259445634696 16518891269392 33037782538784 66075565077568 132151130155136