145050400 has 144 divisors (see below), whose sum is σ = 394849728. Its totient is φ = 51584000.

The previous prime is 145050391. The next prime is 145050403. The reversal of 145050400 is 4050541.

It is not an unprimeable number, because it can be changed into a prime (145050403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466245 + ... + 466555.

It is an arithmetic number, because the mean of its divisors is an integer number (2742012).

Almost surely, 2^145050400 is an apocalyptic number.

145050400 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 145050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197424864).

145050400 is an abundant number, since it is smaller than the sum of its proper divisors (249799328).

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

145050400 is a wasteful number, since it uses less digits than its factorization.

145050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 145050400 is about 12043.6871430638. The cubic root of 145050400 is about 525.4196493543.

The spelling of 145050400 in words is "one hundred forty-five million, fifty thousand, four hundred".