145216435056 has 160 divisors (see below), whose sum is σ = 475378192896. Its totient is φ = 37100160000.

The previous prime is 145216435051. The next prime is 145216435141. The reversal of 145216435056 is 650534612541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 145216434999 and 145216435017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145216435051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96595 + ... + 547506.

Almost surely, 2^145216435056 is an apocalyptic number.

145216435056 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 145216435056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237689096448).

145216435056 is an abundant number, since it is smaller than the sum of its proper divisors (330161757840).

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

145216435056 is a wasteful number, since it uses less digits than its factorization.

145216435056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644191 (or 644185 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 145216435056 in words is "one hundred forty-five billion, two hundred sixteen million, four hundred thirty-five thousand, fifty-six".