145770575616 has 216 divisors, whose sum is σ = 439314663424. Its totient is φ = 48204979200.

The previous prime is 145770575609. The next prime is 145770575633. The reversal of 145770575616 is 616575077541.

145770575616 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 7 + 0 + 575 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7891191 + ... + 7909641.

Almost surely, 2^145770575616 is an apocalyptic number.

145770575616 is a gapful number since it is divisible by the number (16) 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 145770575616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219657331712).

145770575616 is an abundant number, since it is smaller than the sum of its proper divisors (293544087808).

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

145770575616 is an equidigital number, since it uses as much as digits as its factorization.

145770575616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18609 (or 18583 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 54.

The spelling of 145770575616 in words is "one hundred forty-five billion, seven hundred seventy million, five hundred seventy-five thousand, six hundred sixteen".