145015800 has 96 divisors (see below), whose sum is σ = 454189680. Its totient is φ = 38272000.

The previous prime is 145015757. The next prime is 145015807. The reversal of 145015800 is 8510541.

145015800 is digitally balanced in base 3, 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 not an unprimeable number, because it can be changed into a prime (145015807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 59404 + ... + 61796.

Almost surely, 2^145015800 is an apocalyptic number.

145015800 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 145015800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227094840).

145015800 is an abundant number, since it is smaller than the sum of its proper divisors (309173880).

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

145015800 is a wasteful number, since it uses less digits than its factorization.

145015800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2504 counting only the distinct ones).

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

The square root of 145015800 is about 12042.2506202122. The cubic root of 145015800 is about 525.3778685536.

It can be divided in two parts, 14501 and 5800, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 145015800 in words is "one hundred forty-five million, fifteen thousand, eight hundred".