125004132000 has 432 divisors, whose sum is σ = 487653979176. Its totient is φ = 30302976000.

The previous prime is 125004131963. The next prime is 125004132013. The reversal of 125004132000 is 231400521.

125004132000 is a `hidden beast` number, since 1 + 2 + 50 + 0 + 413 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12856838544 + 112147293456 = 113388^2 + 334884^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 4341652 + ... + 4370348.

Almost surely, 2^125004132000 is an apocalyptic number.

125004132000 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 125004132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243826989588).

125004132000 is an abundant number, since it is smaller than the sum of its proper divisors (362649847176).

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

125004132000 is a wasteful number, since it uses less digits than its factorization.

125004132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28750 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 125004132000 its reverse (231400521), we get a palindrome (125235532521).

The spelling of 125004132000 in words is "one hundred twenty-five billion, four million, one hundred thirty-two thousand".