125987400 has 480 divisors, whose sum is σ = 550946880. Its totient is φ = 25920000.

The previous prime is 125987359. The next prime is 125987417. The reversal of 125987400 is 4789521.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1247350 + ... + 1247450.

It is an arithmetic number, because the mean of its divisors is an integer number (1147806).

Almost surely, 2^125987400 is an apocalyptic number.

125987400 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 125987400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275473440).

125987400 is an abundant number, since it is smaller than the sum of its proper divisors (424959480).

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

125987400 is a wasteful number, since it uses less digits than its factorization.

125987400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 125987400 is about 11224.4108976819. The cubic root of 125987400 is about 501.3130819463.

The spelling of 125987400 in words is "one hundred twenty-five million, nine hundred eighty-seven thousand, four hundred".