145105435200 has 336 divisors, whose sum is σ = 529154721216. Its totient is φ = 34512691200.

The previous prime is 145105435183. The next prime is 145105435231. The reversal of 145105435200 is 2534501541.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2772474 + ... + 2824326.

Almost surely, 2^145105435200 is an apocalyptic number.

145105435200 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 145105435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264577360608).

145105435200 is an abundant number, since it is smaller than the sum of its proper divisors (384049286016).

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

145105435200 is a wasteful number, since it uses less digits than its factorization.

145105435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51942 (or 51927 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 145105435200 its reverse (2534501541), we get a palindrome (147639936741).

The spelling of 145105435200 in words is "one hundred forty-five billion, one hundred five million, four hundred thirty-five thousand, two hundred".