145146979200 has 768 divisors, whose sum is σ = 524537856000. Its totient is φ = 35135815680.

The previous prime is 145146979199. The next prime is 145146979253. The reversal of 145146979200 is 2979641541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 145146979200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974140726 + ... + 974140874.

It is an arithmetic number, because the mean of its divisors is an integer number (682992000).

Almost surely, 2^145146979200 is an apocalyptic number.

145146979200 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 145146979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262268928000).

145146979200 is an abundant number, since it is smaller than the sum of its proper divisors (379390876800).

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

145146979200 is a wasteful number, since it uses less digits than its factorization.

145146979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 145146979200 in words is "one hundred forty-five billion, one hundred forty-six million, nine hundred seventy-nine thousand, two hundred".