145333813248 has 486 divisors, whose sum is σ = 472094115129. Its totient is φ = 44718096384.

The previous prime is 145333813243. The next prime is 145333813253. The reversal of 145333813248 is 842318333541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

145333813248 is a `hidden beast` number, since 1 + 4 + 533 + 3 + 81 + 32 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (145333813243) and next prime (145333813253).

It can be written as a sum of positive squares in 2 ways, for example, as 124264710144 + 21069103104 = 352512^2 + 145152^2 .

It is a tau number, because it is divible by the number of its divisors (486).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=269568.

It is a super-2 number, since 2×145333813248² (a number of 23 digits) contains 22 as substring.

Its product of digits (829440) is a multiple of the sum of its prime divisors (18).

It is not an unprimeable number, because it can be changed into a prime (145333813241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11179524090 + ... + 11179524102.

Almost surely, 2^145333813248 is an apocalyptic number.

145333813248 is a gapful number since it is divisible by the number (18) 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 145333813248

145333813248 is an abundant number, since it is smaller than the sum of its proper divisors (326760301881).

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

145333813248 is an frugal number, since it uses more digits than its factorization.

145333813248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 18 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 145333813248 in words is "one hundred forty-five billion, three hundred thirty-three million, eight hundred thirteen thousand, two hundred forty-eight".