125564734307540 has 96 divisors (see below), whose sum is σ = 305408331615744. Its totient is φ = 42856930805760.

The previous prime is 125564734307479. The next prime is 125564734307561. The reversal of 125564734307540 is 45703437465521.

It is a happy number.

It is a super-2 number, since 2×125564734307540² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44367827 + ... + 47112986.

It is an arithmetic number, because the mean of its divisors is an integer number (3181336787664).

Almost surely, 2^{125564734307540} is an apocalyptic number.

125564734307540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125564734307540 is an abundant number, since it is smaller than the sum of its proper divisors (179843597308204).

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

125564734307540 is a wasteful number, since it uses less digits than its factorization.

125564734307540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91481217 (or 91481215 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 56.

The spelling of 125564734307540 in words is "one hundred twenty-five trillion, five hundred sixty-four billion, seven hundred thirty-four million, three hundred seven thousand, five hundred forty".