9145501920 has 144 divisors (see below), whose sum is σ = 31798140192. Its totient is φ = 2392765440.

The previous prime is 9145501901. The next prime is 9145501949. The reversal of 9145501920 is 291055419.

9145501920 is a `hidden beast` number, since 9 + 14 + 550 + 1 + 92 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16405 + ... + 136235.

It is an arithmetic number, because the mean of its divisors is an integer number (220820418).

Almost surely, 2^9145501920 is an apocalyptic number.

9145501920 is a gapful number since it is divisible by the number (90) 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 9145501920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899070096).

9145501920 is an abundant number, since it is smaller than the sum of its proper divisors (22652638272).

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

9145501920 is a wasteful number, since it uses less digits than its factorization.

9145501920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119905 (or 119894 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 9145501920 is about 95632.1176174616. The cubic root of 9145501920 is about 2091.2334408624.

The spelling of 9145501920 in words is "nine billion, one hundred forty-five million, five hundred one thousand, nine hundred twenty".