145331400 has 144 divisors (see below), whose sum is σ = 464769360. Its totient is φ = 37564800.

The previous prime is 145331369. The next prime is 145331401. The reversal of 145331400 is 4133541.

It is a super-2 number, since 2×145331400² = 42242431651920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145331401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1109335 + ... + 1109465.

It is an arithmetic number, because the mean of its divisors is an integer number (3227565).

Almost surely, 2^145331400 is an apocalyptic number.

145331400 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 145331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232384680).

145331400 is an abundant number, since it is smaller than the sum of its proper divisors (319437960).

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

145331400 is a wasteful number, since it uses less digits than its factorization.

145331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 145331400 is about 12055.3473612335. The cubic root of 145331400 is about 525.7587215737.

Adding to 145331400 its reverse (4133541), we get a palindrome (149464941).

The spelling of 145331400 in words is "one hundred forty-five million, three hundred thirty-one thousand, four hundred".