145352334513100 has 576 divisors, whose sum is σ = 399066621851520. Its totient is φ = 45140056473600.

The previous prime is 145352334513073. The next prime is 145352334513119. The reversal of 145352334513100 is 1315433253541.

It is a super-2 number, since 2×145352334513100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3742991284 + ... + 3743030116.

It is an arithmetic number, because the mean of its divisors is an integer number (692823996270).

Almost surely, 2^{145352334513100} is an apocalyptic number.

145352334513100 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 145352334513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199533310925760).

145352334513100 is an abundant number, since it is smaller than the sum of its proper divisors (253714287338420).

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

145352334513100 is a wasteful number, since it uses less digits than its factorization.

145352334513100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39150 (or 39143 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

Adding to 145352334513100 its reverse (1315433253541), we get a palindrome (146667767766641).

The spelling of 145352334513100 in words is "one hundred forty-five trillion, three hundred fifty-two billion, three hundred thirty-four million, five hundred thirteen thousand, one hundred".