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132150600152460 = 223252113479478677
BaseRepresentation
bin11110000011000010110101…
…100101000011010110001100
3122022220110210112121120000100
4132003002311211003112030
5114310123412114334320
61145021051514531100
736556365031323441
oct3603026545032614
9568813715546010
10132150600152460
113911a83369962a
12129a3808736a90
135897995818ab6
14248c1a1dc59c8
151042818ba3790
hex7830b594358c

132150600152460 has 72 divisors (see below), whose sum is σ = 402756615935856. Its totient is φ = 35073145054080.

The previous prime is 132150600152393. The next prime is 132150600152497. The reversal of 132150600152460 is 64251006051231.

132150600152460 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 0 + 600 + 1 + 5 + 2 + 46 + 0 = 666.

132150600152460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1321506001524602 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739701359 + ... + 1739777318.

It is an arithmetic number, because the mean of its divisors is an integer number (5593841887998).

Almost surely, 2132150600152460 is an apocalyptic number.

132150600152460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132150600152460 is an abundant number, since it is smaller than the sum of its proper divisors (270606015783396).

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

132150600152460 is a wasteful number, since it uses less digits than its factorization.

132150600152460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479478903 (or 3479478898 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 132150600152460 in words is "one hundred thirty-two trillion, one hundred fifty billion, six hundred million, one hundred fifty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1899 2110 2532 3165 3798 4220 6330 7596 9495 12660 18990 37980 3479478677 6958957354 10438436031 13917914708 17397393385 20876872062 31315308093 34794786770 41753744124 52192180155 62630616186 69589573540 104384360310 125261232372 156576540465 208768720620 313153080930 626306161860 734170000847 1468340001694 2202510002541 2936680003388 3670850004235 4405020005082 6607530007623 7341700008470 8810040010164 11012550012705 13215060015246 14683400016940 22025100025410 26430120030492 33037650038115 44050200050820 66075300076230 132150600152460