145598452200 has 72 divisors (see below), whose sum is σ = 488968141350. Its totient is φ = 38826253440.

The previous prime is 145598452199. The next prime is 145598452217. The reversal of 145598452200 is 2254895541.

145598452200 is a `hidden beast` number, since 1 + 4 + 5 + 598 + 4 + 52 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 104909914404 + 40688537796 = 323898^2 + 201714^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40442215 + ... + 40445814.

Almost surely, 2^145598452200 is an apocalyptic number.

145598452200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145598452200 is an abundant number, since it is smaller than the sum of its proper divisors (343369689150).

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

145598452200 is a wasteful number, since it uses less digits than its factorization.

145598452200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80888051 (or 80888039 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 145598452200 in words is "one hundred forty-five billion, five hundred ninety-eight million, four hundred fifty-two thousand, two hundred".