125145315216 has 60 divisors (see below), whose sum is σ = 350607228972. Its totient is φ = 41670540288.

The previous prime is 125145315209. The next prime is 125145315257. The reversal of 125145315216 is 612513541521.

125145315216 is a `hidden beast` number, since 1 + 2 + 51 + 453 + 152 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55658246400 + 69487068816 = 235920^2 + 263604^2 .

It is a super-2 number, since 2×125145315216² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328821 + ... + 598676.

Almost surely, 2^125145315216 is an apocalyptic number.

125145315216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

125145315216 is an abundant number, since it is smaller than the sum of its proper divisors (225461913756).

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

125145315216 is a wasteful number, since it uses less digits than its factorization.

125145315216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928448 (or 928439 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

Adding to 125145315216 its reverse (612513541521), we get a palindrome (737658856737).

The spelling of 125145315216 in words is "one hundred twenty-five billion, one hundred forty-five million, three hundred fifteen thousand, two hundred sixteen".