145904000 has 128 divisors (see below), whose sum is σ = 396208800. Its totient is φ = 52992000.

The previous prime is 145903999. The next prime is 145904029. The reversal of 145904000 is 409541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175586 + ... + 176414.

Almost surely, 2^145904000 is an apocalyptic number.

145904000 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 145904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198104400).

145904000 is an abundant number, since it is smaller than the sum of its proper divisors (250304800).

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

145904000 is an equidigital number, since it uses as much as digits as its factorization.

145904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 145904000 is about 12079.0728120994. The cubic root of 145904000 is about 526.4483062810.

The spelling of 145904000 in words is "one hundred forty-five million, nine hundred four thousand".