145024000 has 176 divisors, whose sum is σ = 398526336. Its totient is φ = 52224000.

The previous prime is 145023973. The next prime is 145024001. The reversal of 145024000 is 420541.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (145024001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407949 + ... + 1408051.

Almost surely, 2^145024000 is an apocalyptic number.

145024000 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 145024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199263168).

145024000 is an abundant number, since it is smaller than the sum of its proper divisors (253502336).

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

145024000 is a wasteful number, since it uses less digits than its factorization.

145024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 145024000 is about 12042.5910833176. The cubic root of 145024000 is about 525.3877709626.

Adding to 145024000 its reverse (420541), we get a palindrome (145444541).

The spelling of 145024000 in words is "one hundred forty-five million, twenty-four thousand".