1151268390 has 288 divisors, whose sum is σ = 3513313440. Its totient is φ = 269982720.

The previous prime is 1151268379. The next prime is 1151268401. The reversal of 1151268390 is 938621511.

1151268390 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 268 + 390 = 666.

It is an interprime number because it is at equal distance from previous prime (1151268379) and next prime (1151268401).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37137675 + ... + 37137705.

It is an arithmetic number, because the mean of its divisors is an integer number (12199005).

Almost surely, 2^1151268390 is an apocalyptic number.

1151268390 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 1151268390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756656720).

1151268390 is an abundant number, since it is smaller than the sum of its proper divisors (2362045050).

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

1151268390 is a wasteful number, since it uses less digits than its factorization.

1151268390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1151268390 is about 33930.3461520804. The cubic root of 1151268390 is about 1048.0745939514.

The spelling of 1151268390 in words is "one billion, one hundred fifty-one million, two hundred sixty-eight thousand, three hundred ninety".