125536520340 has 576 divisors, whose sum is σ = 498161664000. Its totient is φ = 24812282880.

The previous prime is 125536520327. The next prime is 125536520401. The reversal of 125536520340 is 43025635521.

125536520340 is a `hidden beast` number, since 1 + 2 + 55 + 365 + 203 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 125536520295 and 125536520304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62798661 + ... + 62800659.

It is an arithmetic number, because the mean of its divisors is an integer number (864864000).

Almost surely, 2^125536520340 is an apocalyptic number.

125536520340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125536520340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249080832000).

125536520340 is an abundant number, since it is smaller than the sum of its proper divisors (372625143660).

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

125536520340 is a wasteful number, since it uses less digits than its factorization.

125536520340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 125536520340 in words is "one hundred twenty-five billion, five hundred thirty-six million, five hundred twenty thousand, three hundred forty".