145857286000 has 80 divisors (see below), whose sum is σ = 353700977760. Its totient is φ = 58174502400.

The previous prime is 145857285953. The next prime is 145857286031. The reversal of 145857286000 is 682758541.

It is a tau number, because it is divible by the number of its divisors (80).

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, 588916 + ... + 799084.

It is an arithmetic number, because the mean of its divisors is an integer number (4421262222).

Almost surely, 2^145857286000 is an apocalyptic number.

145857286000 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 145857286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176850488880).

145857286000 is an abundant number, since it is smaller than the sum of its proper divisors (207843691760).

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

145857286000 is a wasteful number, since it uses less digits than its factorization.

145857286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210539 (or 210523 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 145857286000 in words is "one hundred forty-five billion, eight hundred fifty-seven million, two hundred eighty-six thousand".