126133950 has 48 divisors (see below), whose sum is σ = 316073520. Its totient is φ = 33285120.

The previous prime is 126133939. The next prime is 126133967. The reversal of 126133950 is 59331621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10216 + ... + 18884.

It is an arithmetic number, because the mean of its divisors is an integer number (6584865).

Almost surely, 2^126133950 is an apocalyptic number.

126133950 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 126133950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158036760).

126133950 is an abundant number, since it is smaller than the sum of its proper divisors (189939570).

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

126133950 is a wasteful number, since it uses less digits than its factorization.

126133950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 126133950 is about 11230.9371826219. The cubic root of 126133950 is about 501.5073843514.

The spelling of 126133950 in words is "one hundred twenty-six million, one hundred thirty-three thousand, nine hundred fifty".