145146864520 has 384 divisors, whose sum is σ = 411816960000. Its totient is φ = 44994977280.

The previous prime is 145146864509. The next prime is 145146864523. The reversal of 145146864520 is 25468641541.

It is a super-2 number, since 2×145146864520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (145146864523) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290875231 + ... + 290875729.

It is an arithmetic number, because the mean of its divisors is an integer number (1072440000).

Almost surely, 2^145146864520 is an apocalyptic number.

145146864520 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 145146864520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205908480000).

145146864520 is an abundant number, since it is smaller than the sum of its proper divisors (266670095480).

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

145146864520 is a wasteful number, since it uses less digits than its factorization.

145146864520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 145146864520 in words is "one hundred forty-five billion, one hundred forty-six million, eight hundred sixty-four thousand, five hundred twenty".