145398201216 has 128 divisors (see below), whose sum is σ = 390659673600. Its totient is φ = 47909388288.

The previous prime is 145398201197. The next prime is 145398201217. The reversal of 145398201216 is 612102893541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×145398201216² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145398201217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41082775 + ... + 41086313.

It is an arithmetic number, because the mean of its divisors is an integer number (3052028700).

Almost surely, 2^145398201216 is an apocalyptic number.

145398201216 is a gapful number since it is divisible by the number (16) 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 145398201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195329836800).

145398201216 is an abundant number, since it is smaller than the sum of its proper divisors (245261472384).

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

145398201216 is a wasteful number, since it uses less digits than its factorization.

145398201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 145398201216 in words is "one hundred forty-five billion, three hundred ninety-eight million, two hundred one thousand, two hundred sixteen".