145206221520 has 160 divisors (see below), whose sum is σ = 452630851200. Its totient is φ = 38507886592.

The previous prime is 145206221507. The next prime is 145206221527. The reversal of 145206221520 is 25122602541.

It is a super-2 number, since 2×145206221520² (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 not an unprimeable number, because it can be changed into a prime (145206221527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42543334 + ... + 42546746.

It is an arithmetic number, because the mean of its divisors is an integer number (2828942820).

Almost surely, 2^145206221520 is an apocalyptic number.

145206221520 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 145206221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226315425600).

145206221520 is an abundant number, since it is smaller than the sum of its proper divisors (307424629680).

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

145206221520 is a wasteful number, since it uses less digits than its factorization.

145206221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 145206221520 in words is "one hundred forty-five billion, two hundred six million, two hundred twenty-one thousand, five hundred twenty".