145916316000 has 1920 divisors, whose sum is σ = 679264185600. Its totient is φ = 30481920000.

The previous prime is 145916315989. The next prime is 145916316083. The reversal of 145916316000 is 613619541.

145916316000 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 16 + 31 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1444715950 + ... + 1444716050.

It is an arithmetic number, because the mean of its divisors is an integer number (353783430).

Almost surely, 2^145916316000 is an apocalyptic number.

145916316000 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 145916316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339632092800).

145916316000 is an abundant number, since it is smaller than the sum of its proper divisors (533347869600).

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

145916316000 is a wasteful number, since it uses less digits than its factorization.

145916316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 145916316000 in words is "one hundred forty-five billion, nine hundred sixteen million, three hundred sixteen thousand".