125832510153984 has 288 divisors, whose sum is σ = 341832909075840. Its totient is φ = 41084489170944.

The previous prime is 125832510153953. The next prime is 125832510153991. The reversal of 125832510153984 is 489351015238521.

It is a happy number.

It is a super-2 number, since 2×125832510153984² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5081460387 + ... + 5081485149.

It is an arithmetic number, because the mean of its divisors is an integer number (1186919823180).

Almost surely, 2^{125832510153984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125832510153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170916454537920).

125832510153984 is an abundant number, since it is smaller than the sum of its proper divisors (216000398921856).

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

125832510153984 is a wasteful number, since it uses less digits than its factorization.

125832510153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25477 (or 25463 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 57.

The spelling of 125832510153984 in words is "one hundred twenty-five trillion, eight hundred thirty-two billion, five hundred ten million, one hundred fifty-three thousand, nine hundred eighty-four".