145456000 has 64 divisors (see below), whose sum is σ = 361679760. Its totient is φ = 58176000.

The previous prime is 145455983. The next prime is 145456019. The reversal of 145456000 is 654541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11455 + ... + 20545.

Almost surely, 2^145456000 is an apocalyptic number.

145456000 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 145456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180839880).

145456000 is an abundant number, since it is smaller than the sum of its proper divisors (216223760).

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

145456000 is an frugal number, since it uses more digits than its factorization.

145456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9120 (or 9098 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 145456000 is about 12060.5140852287. The cubic root of 145456000 is about 525.9089318839.

The spelling of 145456000 in words is "one hundred forty-five million, four hundred fifty-six thousand".