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135014124 = 22375412971
BaseRepresentation
bin10000000110000…
…10011011101100
3100102001102120010
420003002123230
5234030422444
621221453220
73226413120
oct1003023354
9312042503
10135014124
116a237123
1239271210
1321c82b1b
1413d07580
15bcbe2b9
hex80c26ec

135014124 has 48 divisors (see below), whose sum is σ = 360824576. Its totient is φ = 38491200.

The previous prime is 135014101. The next prime is 135014129. The reversal of 135014124 is 421410531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 135014124.

It is not an unprimeable number, because it can be changed into a prime (135014129) 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, 43959 + ... + 46929.

Almost surely, 2135014124 is an apocalyptic number.

135014124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135014124 is an abundant number, since it is smaller than the sum of its proper divisors (225810452).

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

135014124 is a wasteful number, since it uses less digits than its factorization.

135014124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 135014124 is about 11619.5578229122. The cubic root of 135014124 is about 513.0106735275.

Adding to 135014124 its reverse (421410531), we get a palindrome (556424655).

The spelling of 135014124 in words is "one hundred thirty-five million, fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 541 1082 1623 2164 2971 3246 3787 5942 6492 7574 8913 11361 11884 15148 17826 20797 22722 35652 41594 45444 62391 83188 124782 249564 1607311 3214622 4821933 6429244 9643866 11251177 19287732 22502354 33753531 45004708 67507062 135014124