2145134000 has 80 divisors (see below), whose sum is σ = 5196959040. Its totient is φ = 856396800.

The previous prime is 2145133997. The next prime is 2145134053. The reversal of 2145134000 is 4315412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2017469 + ... + 2018531.

It is an arithmetic number, because the mean of its divisors is an integer number (64961988).

Almost surely, 2^2145134000 is an apocalyptic number.

2145134000 is a gapful number since it is divisible by the number (20) 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 2145134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598479520).

2145134000 is an abundant number, since it is smaller than the sum of its proper divisors (3051825040).

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

2145134000 is a wasteful number, since it uses less digits than its factorization.

2145134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2145134000 is about 46315.5913273273. The cubic root of 2145134000 is about 1289.6884450820.

Adding to 2145134000 its reverse (4315412), we get a palindrome (2149449412).

The spelling of 2145134000 in words is "two billion, one hundred forty-five million, one hundred thirty-four thousand".