145891000710 has 384 divisors, whose sum is σ = 479480601600. Its totient is φ = 29954147328.

The previous prime is 145891000693. The next prime is 145891000711. The reversal of 145891000710 is 17000198541.

145891000710 is a `hidden beast` number, since 1 + 4 + 589 + 1 + 0 + 0 + 0 + 71 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145891000711) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122906737 + ... + 122907923.

It is an arithmetic number, because the mean of its divisors is an integer number (1248647400).

Almost surely, 2^145891000710 is an apocalyptic number.

145891000710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145891000710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239740300800).

145891000710 is an abundant number, since it is smaller than the sum of its proper divisors (333589600890).

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

145891000710 is a wasteful number, since it uses less digits than its factorization.

145891000710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 145891000710 in words is "one hundred forty-five billion, eight hundred ninety-one million, seven hundred ten", and thus it is an aban number.