145310400 has 126 divisors (see below), whose sum is σ = 516518652. Its totient is φ = 38745600.

The previous prime is 145310383. The next prime is 145310447. The reversal of 145310400 is 4013541.

It is a happy number.

It is a super-2 number, since 2×145310400² = 42230224696320000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9355 + ... + 19445.

Almost surely, 2^145310400 is an apocalyptic number.

145310400 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 145310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258259326).

145310400 is an abundant number, since it is smaller than the sum of its proper divisors (371208252).

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

145310400 is a wasteful number, since it uses less digits than its factorization.

145310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 145310400 is about 12054.4763469841. The cubic root of 145310400 is about 525.7333967758.

Adding to 145310400 its reverse (4013541), we get a palindrome (149323941).

The spelling of 145310400 in words is "one hundred forty-five million, three hundred ten thousand, four hundred".