125832371440 has 80 divisors (see below), whose sum is σ = 294969290400. Its totient is φ = 49919523840.

The previous prime is 125832371393. The next prime is 125832371447. The reversal of 125832371440 is 44173238521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 125832371393 and 125832371402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125832371447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8229082 + ... + 8244358.

It is an arithmetic number, because the mean of its divisors is an integer number (3687116130).

Almost surely, 2^125832371440 is an apocalyptic number.

125832371440 is a gapful number since it is divisible by the number (10) 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 125832371440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147484645200).

125832371440 is an abundant number, since it is smaller than the sum of its proper divisors (169136918960).

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

125832371440 is a wasteful number, since it uses less digits than its factorization.

125832371440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16130 (or 16124 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 125832371440 in words is "one hundred twenty-five billion, eight hundred thirty-two million, three hundred seventy-one thousand, four hundred forty".