145456345160 has 192 divisors, whose sum is σ = 410964710400. Its totient is φ = 46057127424.

The previous prime is 145456345123. The next prime is 145456345169. The reversal of 145456345160 is 61543654541.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (145456345169) 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, 1251689 + ... + 1362951.

It is an arithmetic number, because the mean of its divisors is an integer number (2140441200).

Almost surely, 2^145456345160 is an apocalyptic number.

145456345160 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 145456345160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205482355200).

145456345160 is an abundant number, since it is smaller than the sum of its proper divisors (265508365240).

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

145456345160 is a wasteful number, since it uses less digits than its factorization.

145456345160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111340 (or 111329 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 145456345160 in words is "one hundred forty-five billion, four hundred fifty-six million, three hundred forty-five thousand, one hundred sixty".