145035403200 has 336 divisors, whose sum is σ = 546943788000. Its totient is φ = 37342126080.

The previous prime is 145035403199. The next prime is 145035403259. The reversal of 145035403200 is 2304530541.

145035403200 is a `hidden beast` number, since 1 + 4 + 50 + 3 + 5 + 403 + 200 = 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 47 ways as a sum of consecutive naturals, for example, 1194916 + ... + 1310684.

Almost surely, 2^145035403200 is an apocalyptic number.

145035403200 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 145035403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273471894000).

145035403200 is an abundant number, since it is smaller than the sum of its proper divisors (401908384800).

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

145035403200 is a wasteful number, since it uses less digits than its factorization.

145035403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115829 (or 115808 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 145035403200 its reverse (2304530541), we get a palindrome (147339933741).

The spelling of 145035403200 in words is "one hundred forty-five billion, thirty-five million, four hundred three thousand, two hundred".