2145735162720 has 144 divisors (see below), whose sum is σ = 7574815226160. Its totient is φ = 552465134592.

The previous prime is 2145735162709. The next prime is 2145735162721. The reversal of 2145735162720 is 272615375412.

2145735162720 is a `hidden beast` number, since 2 + 1 + 4 + 573 + 5 + 1 + 6 + 2 + 72 + 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145735162721) 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, 25649514 + ... + 25733033.

It is an arithmetic number, because the mean of its divisors is an integer number (52602883515).

Almost surely, 2^{2145735162720} is an apocalyptic number.

2145735162720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145735162720 is an abundant number, since it is smaller than the sum of its proper divisors (5429080063440).

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

2145735162720 is a wasteful number, since it uses less digits than its factorization.

2145735162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51382597 (or 51382586 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2145735162720 in words is "two trillion, one hundred forty-five billion, seven hundred thirty-five million, one hundred sixty-two thousand, seven hundred twenty".