145999825920 has 704 divisors, whose sum is σ = 563796858240. Its totient is φ = 35615932416.

The previous prime is 145999825919. The next prime is 145999825943. The reversal of 145999825920 is 29528999541.

145999825920 is a `hidden beast` number, since 1 + 459 + 9 + 98 + 2 + 5 + 92 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246205144 + ... + 246205736.

It is an arithmetic number, because the mean of its divisors is an integer number (800847810).

Almost surely, 2^145999825920 is an apocalyptic number.

145999825920 is a gapful number since it is divisible by the number (10) 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 145999825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281898429120).

145999825920 is an abundant number, since it is smaller than the sum of its proper divisors (417797032320).

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

145999825920 is a wasteful number, since it uses less digits than its factorization.

145999825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 145999825920 in words is "one hundred forty-five billion, nine hundred ninety-nine million, eight hundred twenty-five thousand, nine hundred twenty".