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145631124 = 223219239257
BaseRepresentation
bin10001010111000…
…10011110010100
3101011000211100100
420223202132110
5244240143444
622241214100
73415562352
oct1053423624
9334024310
10145631124
1175228901
1240931330
132422c482
14154ac7d2
15cbb9e69
hex8ae2794

145631124 has 72 divisors (see below), whose sum is σ = 404389440. Its totient is φ = 43984512.

The previous prime is 145631119. The next prime is 145631183. The reversal of 145631124 is 421136541.

It is a happy number.

145631124 is a `hidden beast` number, since 1 + 4 + 5 + 631 + 1 + 24 = 666.

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 23 ways as a sum of consecutive naturals, for example, 11104 + ... + 20360.

It is an arithmetic number, because the mean of its divisors is an integer number (5616520).

Almost surely, 2145631124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145631124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202194720).

145631124 is an abundant number, since it is smaller than the sum of its proper divisors (258758316).

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

145631124 is a wasteful number, since it uses less digits than its factorization.

145631124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9304 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 145631124 is about 12067.7721224756. The cubic root of 145631124 is about 526.1199059678.

Adding to 145631124 its reverse (421136541), we get a palindrome (566767665).

The spelling of 145631124 in words is "one hundred forty-five million, six hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 3933 5244 7866 9257 15732 18514 27771 37028 55542 83313 111084 166626 175883 212911 333252 351766 425822 527649 638733 703532 851644 1055298 1277466 1582947 1916199 2110596 2554932 3165894 3832398 4045309 6331788 7664796 8090618 12135927 16181236 24271854 36407781 48543708 72815562 145631124