125151701745105 has 576 divisors, whose sum is σ = 279101555366400. Its totient is φ = 51516883353600.

The previous prime is 125151701745041. The next prime is 125151701745113. The reversal of 125151701745105 is 501547107151521.

125151701745105 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 51 + 70 + 17 + 4 + 510 + 5 = 666.

It is not a de Polignac number, because 125151701745105 - 2⁶ = 125151701745041 is a prime.

It is a super-2 number, since 2×125151701745105² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 20730774147 + ... + 20730780183.

It is an arithmetic number, because the mean of its divisors is an integer number (484551311400).

Almost surely, 2^{125151701745105} is an apocalyptic number.

125151701745105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125151701745105 is an abundant number, since it is smaller than the sum of its proper divisors (153949853621295).

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

125151701745105 is a wasteful number, since it uses less digits than its factorization.

125151701745105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 245000, while the sum is 45.

Adding to 125151701745105 its reverse (501547107151521), we get a palindrome (626698808896626).

The spelling of 125151701745105 in words is "one hundred twenty-five trillion, one hundred fifty-one billion, seven hundred one million, seven hundred forty-five thousand, one hundred five".