125442778032 has 480 divisors, whose sum is σ = 438227951616. Its totient is φ = 34226841600.

The previous prime is 125442777989. The next prime is 125442778049. The reversal of 125442778032 is 230877244521.

125442778032 is a `hidden beast` number, since 1 + 2 + 544 + 2 + 7 + 78 + 0 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22792593 + ... + 22798095.

Almost surely, 2^125442778032 is an apocalyptic number.

125442778032 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 125442778032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219113975808).

125442778032 is an abundant number, since it is smaller than the sum of its proper divisors (312785173584).

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

125442778032 is a wasteful number, since it uses less digits than its factorization.

125442778032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 125442778032 in words is "one hundred twenty-five billion, four hundred forty-two million, seven hundred seventy-eight thousand, thirty-two".