145825958768 has 80 divisors (see below), whose sum is σ = 329752465920. Its totient is φ = 61180358400.

The previous prime is 145825958767. The next prime is 145825958807. The reversal of 145825958768 is 867859528541.

It is a junction number, because it is equal to n+sod(n) for n = 145825958698 and 145825958707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145825958767) 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, 1390973 + ... + 1492131.

It is an arithmetic number, because the mean of its divisors is an integer number (4121905824).

Almost surely, 2^145825958768 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 145825958768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164876232960).

145825958768 is an abundant number, since it is smaller than the sum of its proper divisors (183926507152).

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

145825958768 is a wasteful number, since it uses less digits than its factorization.

145825958768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101446 (or 101440 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 68.

The spelling of 145825958768 in words is "one hundred forty-five billion, eight hundred twenty-five million, nine hundred fifty-eight thousand, seven hundred sixty-eight".