145711228110210 has 256 divisors, whose sum is σ = 444946406446080. Its totient is φ = 33239894261760.

The previous prime is 145711228110197. The next prime is 145711228110247. The reversal of 145711228110210 is 12011822117541.

145711228110210 is a `hidden beast` number, since 1 + 4 + 57 + 112 + 281 + 1 + 0 + 210 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5540969782 + ... + 5540996078.

It is an arithmetic number, because the mean of its divisors is an integer number (1738071900180).

Almost surely, 2^{145711228110210} is an apocalyptic number.

145711228110210 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 145711228110210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222473203223040).

145711228110210 is an abundant number, since it is smaller than the sum of its proper divisors (299235178335870).

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

145711228110210 is a wasteful number, since it uses less digits than its factorization.

145711228110210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31978 (or 31972 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 145711228110210 in words is "one hundred forty-five trillion, seven hundred eleven billion, two hundred twenty-eight million, one hundred ten thousand, two hundred ten".