145805400 has 384 divisors, whose sum is σ = 566630400. Its totient is φ = 34214400.

The previous prime is 145805399. The next prime is 145805437. The reversal of 145805400 is 4508541.

145805400 is a `hidden beast` number, since 1 + 45 + 80 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2176167 + ... + 2176233.

It is an arithmetic number, because the mean of its divisors is an integer number (1475600).

Almost surely, 2^145805400 is an apocalyptic number.

145805400 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 145805400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283315200).

145805400 is an abundant number, since it is smaller than the sum of its proper divisors (420825000).

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

145805400 is a wasteful number, since it uses less digits than its factorization.

145805400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 145805400 is about 12074.9906832262. The cubic root of 145805400 is about 526.3296906153.

The spelling of 145805400 in words is "one hundred forty-five million, eight hundred five thousand, four hundred".