145520042520 has 256 divisors, whose sum is σ = 458681978880. Its totient is φ = 36887961600.

The previous prime is 145520042509. The next prime is 145520042527. The reversal of 145520042520 is 25240025541.

It is a super-3 number, since 3×145520042520³ (a number of 34 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (145520042527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76307407 + ... + 76309313.

It is an arithmetic number, because the mean of its divisors is an integer number (1791726480).

Almost surely, 2^145520042520 is an apocalyptic number.

145520042520 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 145520042520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229340989440).

145520042520 is an abundant number, since it is smaller than the sum of its proper divisors (313161936360).

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

145520042520 is a wasteful number, since it uses less digits than its factorization.

145520042520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 145520042520 in words is "one hundred forty-five billion, five hundred twenty million, forty-two thousand, five hundred twenty".