125540032000 has 160 divisors (see below), whose sum is σ = 320683787424. Its totient is φ = 48990208000.

The previous prime is 125540031949. The next prime is 125540032001. The reversal of 125540032000 is 230045521.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×125540032000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125540032001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2600079 + ... + 2647921.

Almost surely, 2^125540032000 is an apocalyptic number.

125540032000 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 125540032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160341893712).

125540032000 is an abundant number, since it is smaller than the sum of its proper divisors (195143755424).

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

125540032000 is an frugal number, since it uses more digits than its factorization.

125540032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47917 (or 47891 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 125540032000 its reverse (230045521), we get a palindrome (125770077521).

The spelling of 125540032000 in words is "one hundred twenty-five billion, five hundred forty million, thirty-two thousand".