145202125400208 has 80 divisors (see below), whose sum is σ = 417157007762560. Its totient is φ = 48357377322624.

The previous prime is 145202125400177. The next prime is 145202125400249. The reversal of 145202125400208 is 802004521202541.

145202125400208 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 0 + 21 + 25 + 400 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149972260 + ... + 150937347.

It is an arithmetic number, because the mean of its divisors is an integer number (5214462597032).

Almost surely, 2^{145202125400208} is an apocalyptic number.

145202125400208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145202125400208 is an abundant number, since it is smaller than the sum of its proper divisors (271954882362352).

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

145202125400208 is a wasteful number, since it uses less digits than its factorization.

145202125400208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300910741 (or 300910729 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 145202125400208 its reverse (802004521202541), we get a palindrome (947206646602749).

The spelling of 145202125400208 in words is "one hundred forty-five trillion, two hundred two billion, one hundred twenty-five million, four hundred thousand, two hundred eight".