1151146920 has 512 divisors, whose sum is σ = 4644864000. Its totient is φ = 221045760.

The previous prime is 1151146903. The next prime is 1151146949. The reversal of 1151146920 is 296411511.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13869199 + ... + 13869281.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2^1151146920 is an apocalyptic number.

1151146920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151146920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322432000).

1151146920 is an abundant number, since it is smaller than the sum of its proper divisors (3493717080).

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

1151146920 is a wasteful number, since it uses less digits than its factorization.

1151146920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1151146920 is about 33928.5561142823. The cubic root of 1151146920 is about 1048.0377319709.

The spelling of 1151146920 in words is "one billion, one hundred fifty-one million, one hundred forty-six thousand, nine hundred twenty".