145933985040 has 160 divisors (see below), whose sum is σ = 459335100672. Its totient is φ = 38320128000.

The previous prime is 145933985039. The next prime is 145933985059. The reversal of 145933985040 is 40589339541.

145933985040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15007380 + ... + 15017100.

Almost surely, 2^145933985040 is an apocalyptic number.

145933985040 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 145933985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229667550336).

145933985040 is an abundant number, since it is smaller than the sum of its proper divisors (313401115632).

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

145933985040 is a wasteful number, since it uses less digits than its factorization.

145933985040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 145933985040 in words is "one hundred forty-five billion, nine hundred thirty-three million, nine hundred eighty-five thousand, forty".