145240300524000 has 384 divisors, whose sum is σ = 519901269189120. Its totient is φ = 35152868352000.

The previous prime is 145240300523971. The next prime is 145240300524017. The reversal of 145240300524000 is 425003042541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80819224 + ... + 82596776.

It is an arithmetic number, because the mean of its divisors is an integer number (1353909555180).

Almost surely, 2^{145240300524000} is an apocalyptic number.

145240300524000 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 145240300524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259950634594560).

145240300524000 is an abundant number, since it is smaller than the sum of its proper divisors (374660968665120).

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

145240300524000 is a wasteful number, since it uses less digits than its factorization.

145240300524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778211 (or 1778193 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 145240300524000 its reverse (425003042541), we get a palindrome (145665303566541).

The spelling of 145240300524000 in words is "one hundred forty-five trillion, two hundred forty billion, three hundred million, five hundred twenty-four thousand".