145217700288 has 672 divisors, whose sum is σ = 485085542400. Its totient is φ = 42491953152.

The previous prime is 145217700269. The next prime is 145217700343. The reversal of 145217700288 is 882007712541.

145217700288 is a `hidden beast` number, since 1 + 452 + 177 + 0 + 0 + 28 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539842618 + ... + 539842886.

Almost surely, 2^145217700288 is an apocalyptic number.

145217700288 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 145217700288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242542771200).

145217700288 is an abundant number, since it is smaller than the sum of its proper divisors (339867842112).

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

145217700288 is a wasteful number, since it uses less digits than its factorization.

145217700288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 145217700288 in words is "one hundred forty-five billion, two hundred seventeen million, seven hundred thousand, two hundred eighty-eight".