2145205151432 has 128 divisors (see below), whose sum is σ = 4732495680000. Its totient is φ = 911206195200.

The previous prime is 2145205151431. The next prime is 2145205151437. The reversal of 2145205151432 is 2341515025412.

It is a junction number, because it is equal to n+sod(n) for n = 2145205151392 and 2145205151401.

It is not an unprimeable number, because it can be changed into a prime (2145205151431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189349544 + ... + 189360872.

It is an arithmetic number, because the mean of its divisors is an integer number (36972622500).

Almost surely, 2^{2145205151432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145205151432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366247840000).

2145205151432 is an abundant number, since it is smaller than the sum of its proper divisors (2587290528568).

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

2145205151432 is a wasteful number, since it uses less digits than its factorization.

2145205151432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11964 (or 11946 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 2145205151432 in words is "two trillion, one hundred forty-five billion, two hundred five million, one hundred fifty-one thousand, four hundred thirty-two".