1835125920 has 144 divisors (see below), whose sum is σ = 6295128840. Its totient is φ = 486807552.

The previous prime is 1835125907. The next prime is 1835125927. The reversal of 1835125920 is 295215381.

1835125920 is a `hidden beast` number, since 18 + 3 + 51 + 2 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1529435664 + 305690256 = 39108^2 + 17484^2 .

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 not an unprimeable number, because it can be changed into a prime (1835125927) 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, 280446 + ... + 286914.

Almost surely, 2^1835125920 is an apocalyptic number.

1835125920 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 1835125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147564420).

1835125920 is an abundant number, since it is smaller than the sum of its proper divisors (4460002920).

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

1835125920 is a wasteful number, since it uses less digits than its factorization.

1835125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1835125920 is about 42838.3697168788. The cubic root of 1835125920 is about 1224.3021809342.

The spelling of 1835125920 in words is "one billion, eight hundred thirty-five million, one hundred twenty-five thousand, nine hundred twenty".