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125516330136 = 2333581094121
BaseRepresentation
bin111010011100101011…
…0110011010010011000
3102222222110010012212000
41310321112303102120
54024024140031021
6133354510321000
712032261126361
oct1647126632230
9388873105760
10125516330136
114925a77264a
12203ab1b9160
13bab3cc7c42
146109c10b68
1533e93edb26
hex1d395b3498

125516330136 has 32 divisors (see below), whose sum is σ = 348656473200. Its totient is φ = 41838776640.

The previous prime is 125516330131. The next prime is 125516330143. The reversal of 125516330136 is 631033615521.

125516330136 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 1 + 633 + 0 + 13 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125516330136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125516330131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 290546845 + ... + 290547276.

Almost surely, 2125516330136 is an apocalyptic number.

It is an amenable number.

125516330136 is an abundant number, since it is smaller than the sum of its proper divisors (223140143064).

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

125516330136 is a wasteful number, since it uses less digits than its factorization.

125516330136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581094136 (or 581094126 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 125516330136 its reverse (631033615521), we get a palindrome (756549945657).

The spelling of 125516330136 in words is "one hundred twenty-five billion, five hundred sixteen million, three hundred thirty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 581094121 1162188242 1743282363 2324376484 3486564726 4648752968 5229847089 6973129452 10459694178 13946258904 15689541267 20919388356 31379082534 41838776712 62758165068 125516330136