145815400 has 48 divisors (see below), whose sum is σ = 353772000. Its totient is φ = 55788480.

The previous prime is 145815379. The next prime is 145815403. The reversal of 145815400 is 4518541.

145815400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (145815403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11250 + ... + 20449.

It is an arithmetic number, because the mean of its divisors is an integer number (7370250).

Almost surely, 2^145815400 is an apocalyptic number.

145815400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145815400 is an abundant number, since it is smaller than the sum of its proper divisors (207956600).

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

145815400 is a wasteful number, since it uses less digits than its factorization.

145815400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31738 (or 31729 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 145815400 is about 12075.4047551210. The cubic root of 145815400 is about 526.3417230379.

The spelling of 145815400 in words is "one hundred forty-five million, eight hundred fifteen thousand, four hundred".