145567553440 has 48 divisors (see below), whose sum is σ = 344686890240. Its totient is φ = 58094357760.

The previous prime is 145567553429. The next prime is 145567553441. The reversal of 145567553440 is 44355765541.

145567553440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145567553440² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145567553441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965976 + ... + 1106455.

It is an arithmetic number, because the mean of its divisors is an integer number (7180976880).

Almost surely, 2^145567553440 is an apocalyptic number.

145567553440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145567553440 is an abundant number, since it is smaller than the sum of its proper divisors (199119336800).

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

145567553440 is a wasteful number, since it uses less digits than its factorization.

145567553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072885 (or 2072877 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 49.

The spelling of 145567553440 in words is "one hundred forty-five billion, five hundred sixty-seven million, five hundred fifty-three thousand, four hundred forty".