145815000 has 80 divisors (see below), whose sum is σ = 455572920. Its totient is φ = 38880000.

The previous prime is 145814989. The next prime is 145815023. The reversal of 145815000 is 518541.

145815000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10140 + ... + 19860.

Almost surely, 2^145815000 is an apocalyptic number.

145815000 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 145815000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227786460).

145815000 is an abundant number, since it is smaller than the sum of its proper divisors (309757920).

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

145815000 is an equidigital number, since it uses as much as digits as its factorization.

145815000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9750 (or 9731 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 145815000 is about 12075.3881925179. The cubic root of 145815000 is about 526.3412417516.

The spelling of 145815000 in words is "one hundred forty-five million, eight hundred fifteen thousand".