125651526346164 has 192 divisors, whose sum is σ = 374890472087040. Its totient is φ = 31858820259840.

The previous prime is 125651526346133. The next prime is 125651526346183. The reversal of 125651526346164 is 461643625156521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1135897 + ... + 15893184.

It is an arithmetic number, because the mean of its divisors is an integer number (1952554542120).

Almost surely, 2^{125651526346164} is an apocalyptic number.

125651526346164 is a gapful number since it is divisible by the number (14) 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 125651526346164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187445236043520).

125651526346164 is an abundant number, since it is smaller than the sum of its proper divisors (249238945740876).

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

125651526346164 is a wasteful number, since it uses less digits than its factorization.

125651526346164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17029370 (or 17029368 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 57.

The spelling of 125651526346164 in words is "one hundred twenty-five trillion, six hundred fifty-one billion, five hundred twenty-six million, three hundred forty-six thousand, one hundred sixty-four".