145313402233300 has 144 divisors (see below), whose sum is σ = 372013068528640. Its totient is φ = 48213190656000.

The previous prime is 145313402233271. The next prime is 145313402233309. The reversal of 145313402233300 is 3332204313541.

It is a super-2 number, since 2×145313402233300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145313402233309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 977749396 + ... + 977898004.

Almost surely, 2^{145313402233300} is an apocalyptic number.

145313402233300 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 145313402233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186006534264320).

145313402233300 is an abundant number, since it is smaller than the sum of its proper divisors (226699666295340).

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

145313402233300 is a wasteful number, since it uses less digits than its factorization.

145313402233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193722 (or 193715 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

Adding to 145313402233300 its reverse (3332204313541), we get a palindrome (148645606546841).

The spelling of 145313402233300 in words is "one hundred forty-five trillion, three hundred thirteen billion, four hundred two million, two hundred thirty-three thousand, three hundred".