145607844192 has 96 divisors (see below), whose sum is σ = 394697640960. Its totient is φ = 46952732160.

The previous prime is 145607844167. The next prime is 145607844203. The reversal of 145607844192 is 291448706541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9691278 + ... + 9706290.

It is an arithmetic number, because the mean of its divisors is an integer number (4111433760).

Almost surely, 2^145607844192 is an apocalyptic number.

145607844192 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 145607844192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197348820480).

145607844192 is an abundant number, since it is smaller than the sum of its proper divisors (249089796768).

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

145607844192 is a wasteful number, since it uses less digits than its factorization.

145607844192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18316 (or 18308 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 145607844192 in words is "one hundred forty-five billion, six hundred seven million, eight hundred forty-four thousand, one hundred ninety-two".