145505210400 has 324 divisors, whose sum is σ = 563975860266. Its totient is φ = 35273779200.

The previous prime is 145505210399. The next prime is 145505210467. The reversal of 145505210400 is 4012505541.

145505210400 is a `hidden beast` number, since 1 + 4 + 550 + 5 + 2 + 104 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 124307015184 + 21198195216 = 352572^2 + 145596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 787692 + ... + 954708.

Almost surely, 2^145505210400 is an apocalyptic number.

145505210400 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 145505210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281987930133).

145505210400 is an abundant number, since it is smaller than the sum of its proper divisors (418470649866).

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

145505210400 is a wasteful number, since it uses less digits than its factorization.

145505210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167065 (or 167038 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 145505210400 its reverse (4012505541), we get a palindrome (149517715941).

The spelling of 145505210400 in words is "one hundred forty-five billion, five hundred five million, two hundred ten thousand, four hundred".