145212781360 has 80 divisors (see below), whose sum is σ = 339760878912. Its totient is φ = 57717273600.

The previous prime is 145212781313. The next prime is 145212781369. The reversal of 145212781360 is 63187212541.

145212781360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (145212781369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21875962 + ... + 21882598.

Almost surely, 2^145212781360 is an apocalyptic number.

145212781360 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 145212781360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169880439456).

145212781360 is an abundant number, since it is smaller than the sum of its proper divisors (194548097552).

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

145212781360 is a wasteful number, since it uses less digits than its factorization.

145212781360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8342 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 145212781360 in words is "one hundred forty-five billion, two hundred twelve million, seven hundred eighty-one thousand, three hundred sixty".