125154072432 has 320 divisors, whose sum is σ = 380520645120. Its totient is φ = 39336192000.

The previous prime is 125154072427. The next prime is 125154072443. The reversal of 125154072432 is 234270451521.

125154072432 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 5 + 407 + 243 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76922403 + ... + 76924029.

It is an arithmetic number, because the mean of its divisors is an integer number (1189127016).

Almost surely, 2^125154072432 is an apocalyptic number.

125154072432 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 125154072432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190260322560).

125154072432 is an abundant number, since it is smaller than the sum of its proper divisors (255366572688).

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

125154072432 is a wasteful number, since it uses less digits than its factorization.

125154072432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 125154072432 in words is "one hundred twenty-five billion, one hundred fifty-four million, seventy-two thousand, four hundred thirty-two".