145968487600 has 120 divisors (see below), whose sum is σ = 379929120480. Its totient is φ = 53573007360.

The previous prime is 145968487597. The next prime is 145968487603. The reversal of 145968487600 is 6784869541.

145968487600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145968487597) and next prime (145968487603).

It is not an unprimeable number, because it can be changed into a prime (145968487603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 784356 + ... + 952444.

It is an arithmetic number, because the mean of its divisors is an integer number (3166076004).

Almost surely, 2^145968487600 is an apocalyptic number.

145968487600 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 145968487600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189964560240).

145968487600 is an abundant number, since it is smaller than the sum of its proper divisors (233960632880).

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

145968487600 is a wasteful number, since it uses less digits than its factorization.

145968487600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168287 (or 168276 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 145968487600 in words is "one hundred forty-five billion, nine hundred sixty-eight million, four hundred eighty-seven thousand, six hundred".