145215125253200 has 30 divisors (see below), whose sum is σ = 348879338421774. Its totient is φ = 58086050101120.

The previous prime is 145215125253199. The next prime is 145215125253217. The reversal of 145215125253200 is 2352521512541.

It can be written as a sum of positive squares in 3 ways, for example, as 613345850896 + 144601779402304 = 783164^2 + 12025048^2 .

It is a super-2 number, since 2×145215125253200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181518906167 + ... + 181518906966.

Almost surely, 2^{145215125253200} is an apocalyptic number.

145215125253200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145215125253200 is an abundant number, since it is smaller than the sum of its proper divisors (203664213168574).

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

145215125253200 is a wasteful number, since it uses less digits than its factorization.

145215125253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363037813151 (or 363037813140 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

Adding to 145215125253200 its reverse (2352521512541), we get a palindrome (147567646765741).

The spelling of 145215125253200 in words is "one hundred forty-five trillion, two hundred fifteen billion, one hundred twenty-five million, two hundred fifty-three thousand, two hundred".