145889107392 has 224 divisors, whose sum is σ = 452959524864. Its totient is φ = 40570675200.

The previous prime is 145889107391. The next prime is 145889107439. The reversal of 145889107392 is 293701988541.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145889107391) 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, 25400073 + ... + 25405815.

It is an arithmetic number, because the mean of its divisors is an integer number (2022140736).

Almost surely, 2^145889107392 is an apocalyptic number.

145889107392 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 145889107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226479762432).

145889107392 is an abundant number, since it is smaller than the sum of its proper divisors (307070417472).

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

145889107392 is a wasteful number, since it uses less digits than its factorization.

145889107392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 145889107392 in words is "one hundred forty-five billion, eight hundred eighty-nine million, one hundred seven thousand, three hundred ninety-two".