125131342042400 has 36 divisors (see below), whose sum is σ = 305476888762962. Its totient is φ = 50052536816640.

The previous prime is 125131342042391. The next prime is 125131342042403. The reversal of 125131342042400 is 4240243131521.

It can be written as a sum of positive squares in 3 ways, for example, as 116649244983184 + 8482097059216 = 10800428^2 + 2912404^2 .

It is a super-2 number, since 2×125131342042400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (125131342042403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78207087977 + ... + 78207089576.

Almost surely, 2^{125131342042400} is an apocalyptic number.

125131342042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125131342042400 is an abundant number, since it is smaller than the sum of its proper divisors (180345546720562).

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

125131342042400 is a wasteful number, since it uses less digits than its factorization.

125131342042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156414177573 (or 156414177560 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 125131342042400 its reverse (4240243131521), we get a palindrome (129371585173921).

The spelling of 125131342042400 in words is "one hundred twenty-five trillion, one hundred thirty-one billion, three hundred forty-two million, forty-two thousand, four hundred".