145617559400 has 24 divisors (see below), whose sum is σ = 338560826070. Its totient is φ = 58247023680.

The previous prime is 145617559369. The next prime is 145617559427. The reversal of 145617559400 is 4955716541.

It can be written as a sum of positive squares in 3 ways, for example, as 91292205316 + 54325354084 = 302146^2 + 233078^2 .

It is a super-2 number, since 2×145617559400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364043699 + ... + 364044098.

Almost surely, 2^145617559400 is an apocalyptic number.

145617559400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145617559400 is an abundant number, since it is smaller than the sum of its proper divisors (192943266670).

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

145617559400 is a wasteful number, since it uses less digits than its factorization.

145617559400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728087813 (or 728087804 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 47.

The spelling of 145617559400 in words is "one hundred forty-five billion, six hundred seventeen million, five hundred fifty-nine thousand, four hundred".