145780992 has 288 divisors, whose sum is σ = 518031360. Its totient is φ = 39536640.

The previous prime is 145780949. The next prime is 145780993. The reversal of 145780992 is 299087541.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145780993) 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, 1112767 + ... + 1112897.

It is an arithmetic number, because the mean of its divisors is an integer number (1798720).

Almost surely, 2^145780992 is an apocalyptic number.

145780992 is a gapful number since it is divisible by the number (12) 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 145780992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259015680).

145780992 is an abundant number, since it is smaller than the sum of its proper divisors (372250368).

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

145780992 is a wasteful number, since it uses less digits than its factorization.

145780992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 145780992 is about 12073.9799569156. The cubic root of 145780992 is about 526.3003195678.

The spelling of 145780992 in words is "one hundred forty-five million, seven hundred eighty thousand, nine hundred ninety-two".