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1245135132 = 223319606791
BaseRepresentation
bin100101000110111…
…0100000100011100
310012202221102022000
41022031310010130
510022223311012
6323315322300
742566321403
oct11215640434
93182842260
101245135132
115899344aa
122a8bb0390
1316ac68467
14bb51c63a
15744a3ddc
hex4a37411c

1245135132 has 48 divisors (see below), whose sum is σ = 3398035200. Its totient is φ = 393199920.

The previous prime is 1245135083. The next prime is 1245135161. The reversal of 1245135132 is 2315315421.

1245135132 is a `hidden beast` number, since 12 + 4 + 513 + 5 + 132 = 666.

It is a super-3 number, since 3×12451351323 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1245135096 and 1245135105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 301344 + ... + 305447.

It is an arithmetic number, because the mean of its divisors is an integer number (70792400).

Almost surely, 21245135132 is an apocalyptic number.

1245135132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1245135132 is an abundant number, since it is smaller than the sum of its proper divisors (2152900068).

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

1245135132 is a wasteful number, since it uses less digits than its factorization.

1245135132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606823 (or 606815 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 1245135132 is about 35286.4723654831. The cubic root of 1245135132 is about 1075.8180560971.

The spelling of 1245135132 in words is "one billion, two hundred forty-five million, one hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 606791 1213582 1820373 2427164 3640746 5461119 7281492 10922238 11529029 16383357 21844476 23058058 32766714 34587087 46116116 65533428 69174174 103761261 138348348 207522522 311283783 415045044 622567566 1245135132