125142752952 has 256 divisors, whose sum is σ = 403902720000. Its totient is φ = 35163777024.

The previous prime is 125142752929. The next prime is 125142752981. The reversal of 125142752952 is 259257241521.

It is a happy number.

125142752952 is a `hidden beast` number, since 1 + 2 + 51 + 4 + 27 + 529 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125142752898 and 125142752907.

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, 23201968 + ... + 23207360.

It is an arithmetic number, because the mean of its divisors is an integer number (1577745000).

Almost surely, 2^125142752952 is an apocalyptic number.

125142752952 is a gapful number since it is divisible by the number (12) 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 125142752952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201951360000).

125142752952 is an abundant number, since it is smaller than the sum of its proper divisors (278759967048).

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

125142752952 is a wasteful number, since it uses less digits than its factorization.

125142752952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5657 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 125142752952 in words is "one hundred twenty-five billion, one hundred forty-two million, seven hundred fifty-two thousand, nine hundred fifty-two".