145022400 has 252 divisors, whose sum is σ = 535967432. Its totient is φ = 38568960.

The previous prime is 145022389. The next prime is 145022411. The reversal of 145022400 is 4220541.

It is an interprime number because it is at equal distance from previous prime (145022389) and next prime (145022411).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388614 + ... + 388986.

Almost surely, 2^145022400 is an apocalyptic number.

145022400 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 145022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267983716).

145022400 is an abundant number, since it is smaller than the sum of its proper divisors (390945032).

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

145022400 is an equidigital number, since it uses as much as digits as its factorization.

145022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 145022400 is about 12042.5246522480. The cubic root of 145022400 is about 525.3858388146.

Adding to 145022400 its reverse (4220541), we get a palindrome (149242941).

The spelling of 145022400 in words is "one hundred forty-five million, twenty-two thousand, four hundred".