145415413520 has 80 divisors (see below), whose sum is σ = 364298318832. Its totient is φ = 53662279680.

The previous prime is 145415413519. The next prime is 145415413541. The reversal of 145415413520 is 25314514541.

It is a happy number.

145415413520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 30773579776 + 114641833744 = 175424^2 + 338588^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×145415413520² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1897874 + ... + 1973006.

Almost surely, 2^145415413520 is an apocalyptic number.

145415413520 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 145415413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182149159416).

145415413520 is an abundant number, since it is smaller than the sum of its proper divisors (218882905312).

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

145415413520 is a wasteful number, since it uses less digits than its factorization.

145415413520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77020 (or 77014 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 145415413520 in words is "one hundred forty-five billion, four hundred fifteen million, four hundred thirteen thousand, five hundred twenty".