145648700208 has 320 divisors, whose sum is σ = 471741235200. Its totient is φ = 42625440000.

The previous prime is 145648700191. The next prime is 145648700221. The reversal of 145648700208 is 802007846541.

145648700208 is a `hidden beast` number, since 1 + 4 + 564 + 87 + 0 + 0 + 2 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126540433 + ... + 126541583.

It is an arithmetic number, because the mean of its divisors is an integer number (1474191360).

Almost surely, 2^145648700208 is an apocalyptic number.

145648700208 is a gapful number since it is divisible by the number (18) 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 145648700208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235870617600).

145648700208 is an abundant number, since it is smaller than the sum of its proper divisors (326092534992).

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

145648700208 is a wasteful number, since it uses less digits than its factorization.

145648700208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 145648700208 in words is "one hundred forty-five billion, six hundred forty-eight million, seven hundred thousand, two hundred eight".