125788950 has 336 divisors, whose sum is σ = 439123680. Its totient is φ = 26127360.

The previous prime is 125788919. The next prime is 125788997. The reversal of 125788950 is 59887521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 125788896 and 125788905.

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 4337536 + ... + 4337564.

Almost surely, 2^125788950 is an apocalyptic number.

125788950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125788950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219561840).

125788950 is an abundant number, since it is smaller than the sum of its proper divisors (313334730).

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

125788950 is a wasteful number, since it uses less digits than its factorization.

125788950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 125788950 is about 11215.5673062044. The cubic root of 125788950 is about 501.0497279336.

It can be divided in two parts, 12578 and 8950, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 125788950 in words is "one hundred twenty-five million, seven hundred eighty-eight thousand, nine hundred fifty".