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132555042 = 235311877
BaseRepresentation
bin1111110011010…
…10000100100010
3100020102111100000
413321222010202
5232413230132
621053040430
73166461564
oct771520442
9306374300
10132555042
1168907624
1238486116
1321601749
1413867334
15b98587c
hex7e6a122

132555042 has 48 divisors (see below), whose sum is σ = 299138112. Its totient is φ = 43992720.

The previous prime is 132554999. The next prime is 132555089. The reversal of 132555042 is 240555231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132554997 and 132555015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150708 + ... + 151584.

It is an arithmetic number, because the mean of its divisors is an integer number (6232044).

Almost surely, 2132555042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132555042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149569056).

132555042 is an abundant number, since it is smaller than the sum of its proper divisors (166583070).

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

132555042 is an equidigital number, since it uses as much as digits as its factorization.

132555042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 132555042 is about 11513.2550566727. The cubic root of 132555042 is about 509.8769945565.

The spelling of 132555042 in words is "one hundred thirty-two million, five hundred fifty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 311 486 622 877 933 1754 1866 2631 2799 5262 5598 7893 8397 15786 16794 23679 25191 47358 50382 71037 75573 142074 151146 213111 272747 426222 545494 818241 1636482 2454723 4909446 7364169 14728338 22092507 44185014 66277521 132555042