145152400 has 120 divisors (see below), whose sum is σ = 373636800. Its totient is φ = 54028800.

The previous prime is 145152389. The next prime is 145152401. The reversal of 145152400 is 4251541.

It is not an unprimeable number, because it can be changed into a prime (145152401) 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, 539466 + ... + 539734.

It is an arithmetic number, because the mean of its divisors is an integer number (3113640).

Almost surely, 2^145152400 is an apocalyptic number.

145152400 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 145152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186818400).

145152400 is an abundant number, since it is smaller than the sum of its proper divisors (228484400).

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

145152400 is a wasteful number, since it uses less digits than its factorization.

145152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 145152400 is about 12047.9209824766. The cubic root of 145152400 is about 525.5427795373.

The spelling of 145152400 in words is "one hundred forty-five million, one hundred fifty-two thousand, four hundred".