145012971600 has 1440 divisors, whose sum is σ = 646806816000. Its totient is φ = 31039303680.

The previous prime is 145012971563. The next prime is 145012971647. The reversal of 145012971600 is 6179210541.

145012971600 is a `hidden beast` number, since 1 + 4 + 501 + 2 + 97 + 1 + 60 + 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 287 ways as a sum of consecutive naturals, for example, 728708301 + ... + 728708499.

It is an arithmetic number, because the mean of its divisors is an integer number (449171400).

Almost surely, 2^145012971600 is an apocalyptic number.

145012971600 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 145012971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323403408000).

145012971600 is an abundant number, since it is smaller than the sum of its proper divisors (501793844400).

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

145012971600 is a wasteful number, since it uses less digits than its factorization.

145012971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 145012971600 in words is "one hundred forty-five billion, twelve million, nine hundred seventy-one thousand, six hundred".