1145005920 has 144 divisors (see below), whose sum is σ = 3973853520. Its totient is φ = 300137472.

The previous prime is 1145005919. The next prime is 1145005921. The reversal of 1145005920 is 295005411.

It is an interprime number because it is at equal distance from previous prime (1145005919) and next prime (1145005921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1145005920² = 2622077113670092800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145005921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78222 + ... + 91698.

It is an arithmetic number, because the mean of its divisors is an integer number (27596205).

Almost surely, 2^1145005920 is an apocalyptic number.

1145005920 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 1145005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986926760).

1145005920 is an abundant number, since it is smaller than the sum of its proper divisors (2828847600).

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

1145005920 is a wasteful number, since it uses less digits than its factorization.

1145005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13557 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1145005920 is about 33837.9361072746. The cubic root of 1145005920 is about 1046.1707596192.

The spelling of 1145005920 in words is "one billion, one hundred forty-five million, five thousand, nine hundred twenty".