145391400 has 288 divisors, whose sum is σ = 609336000. Its totient is φ = 30182400.

The previous prime is 145391381. The next prime is 145391417. The reversal of 145391400 is 4193541.

145391400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145391400² = 42277318387920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138076 + ... + 139124.

It is an arithmetic number, because the mean of its divisors is an integer number (2115750).

Almost surely, 2^145391400 is an apocalyptic number.

145391400 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 145391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668000).

145391400 is an abundant number, since it is smaller than the sum of its proper divisors (463944600).

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

145391400 is a wasteful number, since it uses less digits than its factorization.

145391400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 145391400 is about 12057.8356266786. The cubic root of 145391400 is about 525.8310646991.

The spelling of 145391400 in words is "one hundred forty-five million, three hundred ninety-one thousand, four hundred".