1653134120 has 64 divisors (see below), whose sum is σ = 4073068800. Its totient is φ = 598862080.

The previous prime is 1653134069. The next prime is 1653134123. The reversal of 1653134120 is 214313561.

It is a self number, because there is not a number n which added to its sum of digits gives 1653134120.

It is not an unprimeable number, because it can be changed into a prime (1653134123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111377 + ... + 125343.

It is an arithmetic number, because the mean of its divisors is an integer number (63641700).

Almost surely, 2^1653134120 is an apocalyptic number.

1653134120 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 1653134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036534400).

1653134120 is an abundant number, since it is smaller than the sum of its proper divisors (2419934680).

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

1653134120 is a wasteful number, since it uses less digits than its factorization.

1653134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14258 (or 14254 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1653134120 is about 40658.7520713561. The cubic root of 1653134120 is about 1182.4134554883.

Adding to 1653134120 its reverse (214313561), we get a palindrome (1867447681).

The spelling of 1653134120 in words is "one billion, six hundred fifty-three million, one hundred thirty-four thousand, one hundred twenty".