1249152090 has 64 divisors (see below), whose sum is σ = 3106598400. Its totient is φ = 321076224.

The previous prime is 1249152089. The next prime is 1249152097. The reversal of 1249152090 is 902519421.

It is not an unprimeable number, because it can be changed into a prime (1249152097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877119 + ... + 878541.

It is an arithmetic number, because the mean of its divisors is an integer number (48540600).

Almost surely, 2^1249152090 is an apocalyptic number.

1249152090 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 1249152090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553299200).

1249152090 is an abundant number, since it is smaller than the sum of its proper divisors (1857446310).

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

1249152090 is a wasteful number, since it uses less digits than its factorization.

1249152090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1249152090 is about 35343.3457669191. The cubic root of 1249152090 is about 1076.9737210262.

The spelling of 1249152090 in words is "one billion, two hundred forty-nine million, one hundred fifty-two thousand, ninety".