145148889600 has 1800 divisors, whose sum is σ = 643050209340. Its totient is φ = 32115916800.

The previous prime is 145148889583. The next prime is 145148889629. The reversal of 145148889600 is 6988841541.

It is a happy number.

145148889600 is a `hidden beast` number, since 14 + 5 + 14 + 8 + 8 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11263152384 + 133885737216 = 106128^2 + 365904^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×145148889600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1630886356 + ... + 1630886444.

Almost surely, 2^145148889600 is an apocalyptic number.

145148889600 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 145148889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321525104670).

145148889600 is an abundant number, since it is smaller than the sum of its proper divisors (497901319740).

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

145148889600 is a wasteful number, since it uses less digits than its factorization.

145148889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 145148889600 in words is "one hundred forty-five billion, one hundred forty-eight million, eight hundred eighty-nine thousand, six hundred".