145646208000 has 1408 divisors, whose sum is σ = 594110799360. Its totient is φ = 35035545600.

The previous prime is 145646207999. The next prime is 145646208013. The reversal of 145646208000 is 802646541.

145646208000 is a `hidden beast` number, since 1 + 4 + 5 + 646 + 2 + 0 + 8 + 0 + 0 + 0 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2173823967 + ... + 2173824033.

Almost surely, 2^145646208000 is an apocalyptic number.

145646208000 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 145646208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297055399680).

145646208000 is an abundant number, since it is smaller than the sum of its proper divisors (448464591360).

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

145646208000 is a wasteful number, since it uses less digits than its factorization.

145646208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 145646208000 in words is "one hundred forty-five billion, six hundred forty-six million, two hundred eight thousand".