145702557312 has 384 divisors, whose sum is σ = 443045453760. Its totient is φ = 42167844864.

The previous prime is 145702557307. The next prime is 145702557313. The reversal of 145702557312 is 213755207541.

It is a happy number.

145702557312 is digitally balanced in base 3, 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 (384).

It is not an unprimeable number, because it can be changed into a prime (145702557313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419891923 + ... + 419892269.

Almost surely, 2^145702557312 is an apocalyptic number.

145702557312 is a gapful number since it is divisible by the number (12) 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 145702557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221522726880).

145702557312 is an abundant number, since it is smaller than the sum of its proper divisors (297342896448).

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

145702557312 is a wasteful number, since it uses less digits than its factorization.

145702557312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 145702557312 in words is "one hundred forty-five billion, seven hundred two million, five hundred fifty-seven thousand, three hundred twelve".