145142400 has 192 divisors, whose sum is σ = 515279520. Its totient is φ = 35696640.

The previous prime is 145142399. The next prime is 145142407. The reversal of 145142400 is 4241541.

It is a happy number.

145142400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (145142407) 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, 124219 + ... + 125381.

Almost surely, 2^145142400 is an apocalyptic number.

145142400 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 145142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257639760).

145142400 is an abundant number, since it is smaller than the sum of its proper divisors (370137120).

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

145142400 is a wasteful number, since it uses less digits than its factorization.

145142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 145142400 is about 12047.5059659666. The cubic root of 145142400 is about 525.5307105016.

Adding to 145142400 its reverse (4241541), we get a palindrome (149383941).

The spelling of 145142400 in words is "one hundred forty-five million, one hundred forty-two thousand, four hundred".