145515725640 has 640 divisors, whose sum is σ = 529272817920. Its totient is φ = 35765452800.

The previous prime is 145515725633. The next prime is 145515725713. The reversal of 145515725640 is 46527515541.

145515725640 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 15 + 72 + 564 + 0 = 666.

145515725640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 296365795 + ... + 296366285.

It is an arithmetic number, because the mean of its divisors is an integer number (826988778).

Almost surely, 2^145515725640 is an apocalyptic number.

145515725640 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 145515725640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264636408960).

145515725640 is an abundant number, since it is smaller than the sum of its proper divisors (383757092280).

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

145515725640 is a wasteful number, since it uses less digits than its factorization.

145515725640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 145515725640 in words is "one hundred forty-five billion, five hundred fifteen million, seven hundred twenty-five thousand, six hundred forty".