1250135628 has 144 divisors (see below), whose sum is σ = 3600576000. Its totient is φ = 335664000.

The previous prime is 1250135587. The next prime is 1250135707. The reversal of 1250135628 is 8265310521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1664253 + ... + 1665003.

It is an arithmetic number, because the mean of its divisors is an integer number (25004000).

Almost surely, 2^1250135628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1250135628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800288000).

1250135628 is an abundant number, since it is smaller than the sum of its proper divisors (2350440372).

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

1250135628 is a wasteful number, since it uses less digits than its factorization.

1250135628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1250135628 is about 35357.2570768718. The cubic root of 1250135628 is about 1077.2563038294.

The spelling of 1250135628 in words is "one billion, two hundred fifty million, one hundred thirty-five thousand, six hundred twenty-eight".