125351550090 has 192 divisors, whose sum is σ = 367416870912. Its totient is φ = 29439244800.

The previous prime is 125351550083. The next prime is 125351550119. The reversal of 125351550090 is 90055153521.

125351550090 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 515 + 50 + 0 + 90 = 666.

It is a super-2 number, since 2×125351550090² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2550832 + ... + 2599508.

It is an arithmetic number, because the mean of its divisors is an integer number (1913629536).

Almost surely, 2^125351550090 is an apocalyptic number.

125351550090 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 125351550090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183708435456).

125351550090 is an abundant number, since it is smaller than the sum of its proper divisors (242065320822).

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

125351550090 is a wasteful number, since it uses less digits than its factorization.

125351550090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48805 (or 48802 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 125351550090 in words is "one hundred twenty-five billion, three hundred fifty-one million, five hundred fifty thousand, ninety".