145990080 has 224 divisors, whose sum is σ = 525353280. Its totient is φ = 38154240.

The previous prime is 145990069. The next prime is 145990081. The reversal of 145990080 is 80099541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145990081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526902 + ... + 527178.

Almost surely, 2^145990080 is an apocalyptic number.

145990080 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 145990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262676640).

145990080 is an abundant number, since it is smaller than the sum of its proper divisors (379363200).

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

145990080 is a wasteful number, since it uses less digits than its factorization.

145990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 145990080 is about 12082.6354741008. The cubic root of 145990080 is about 526.5518167198.

The spelling of 145990080 in words is "one hundred forty-five million, nine hundred ninety thousand, eighty".