145313215320 has 256 divisors, whose sum is σ = 544551920640. Its totient is φ = 30201735168.

The previous prime is 145313215303. The next prime is 145313215337. The reversal of 145313215320 is 23512313541.

It is an interprime number because it is at equal distance from previous prime (145313215303) and next prime (145313215337).

It is a super-2 number, since 2×145313215320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 632334 + ... + 830946.

It is an arithmetic number, because the mean of its divisors is an integer number (2127155940).

Almost surely, 2^145313215320 is an apocalyptic number.

145313215320 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 145313215320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272275960320).

145313215320 is an abundant number, since it is smaller than the sum of its proper divisors (399238705320).

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

145313215320 is a wasteful number, since it uses less digits than its factorization.

145313215320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198714 (or 198710 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 145313215320 its reverse (23512313541), we get a palindrome (168825528861).

The spelling of 145313215320 in words is "one hundred forty-five billion, three hundred thirteen million, two hundred fifteen thousand, three hundred twenty".