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147135140 = 22523499641
BaseRepresentation
bin10001100010100…
…01101010100100
3101020212020110122
420301101222210
5300131311030
622333341112
73434425265
oct1061215244
9336766418
10147135140
1176065899
1241337798
1324637c19
141578096c
15cdb58e5
hex8c51aa4

147135140 has 48 divisors (see below), whose sum is σ = 323568000. Its totient is φ = 56094720.

The previous prime is 147135137. The next prime is 147135143. The reversal of 147135140 is 41531741.

147135140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147135137) and next prime (147135143).

It is not an unprimeable number, because it can be changed into a prime (147135143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229220 + ... + 229860.

It is an arithmetic number, because the mean of its divisors is an integer number (6741000).

Almost surely, 2147135140 is an apocalyptic number.

147135140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147135140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161784000).

147135140 is an abundant number, since it is smaller than the sum of its proper divisors (176432860).

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

147135140 is a wasteful number, since it uses less digits than its factorization.

147135140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 147135140 is about 12129.9274523799. The cubic root of 147135140 is about 527.9248869657.

Adding to 147135140 its reverse (41531741), we get a palindrome (188666881).

The spelling of 147135140 in words is "one hundred forty-seven million, one hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 499 641 998 1282 1996 2495 2564 3205 4990 6410 9980 11477 12820 14743 22954 29486 45908 57385 58972 73715 114770 147430 229540 294860 319859 639718 1279436 1599295 3198590 6397180 7356757 14713514 29427028 36783785 73567570 147135140