125202520145340 has 288 divisors, whose sum is σ = 425728299971520. Its totient is φ = 29516230656000.

The previous prime is 125202520145291. The next prime is 125202520145357. The reversal of 125202520145340 is 43541025202521.

125202520145340 is a `hidden beast` number, since 1 + 2 + 5 + 20 + 252 + 0 + 1 + 45 + 340 = 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 = 125202520145295 and 125202520145304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138817756 + ... + 139716764.

It is an arithmetic number, because the mean of its divisors is an integer number (1478223263790).

Almost surely, 2^{125202520145340} is an apocalyptic number.

125202520145340 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 125202520145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212864149985760).

125202520145340 is an abundant number, since it is smaller than the sum of its proper divisors (300525779826180).

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

125202520145340 is a wasteful number, since it uses less digits than its factorization.

125202520145340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900973 (or 900968 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 125202520145340 its reverse (43541025202521), we get a palindrome (168743545347861).

The spelling of 125202520145340 in words is "one hundred twenty-five trillion, two hundred two billion, five hundred twenty million, one hundred forty-five thousand, three hundred forty".