145689209432 has 384 divisors, whose sum is σ = 345316608000. Its totient is φ = 57191546880.

The previous prime is 145689209431. The next prime is 145689209443. The reversal of 145689209432 is 234902986541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145689209431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1414458293 + ... + 1414458395.

It is an arithmetic number, because the mean of its divisors is an integer number (899262000).

Almost surely, 2^145689209432 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 145689209432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172658304000).

145689209432 is an abundant number, since it is smaller than the sum of its proper divisors (199627398568).

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

145689209432 is a wasteful number, since it uses less digits than its factorization.

145689209432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 145689209432 in words is "one hundred forty-five billion, six hundred eighty-nine million, two hundred nine thousand, four hundred thirty-two".