145011535600 has 120 divisors (see below), whose sum is σ = 350124251328. Its totient is φ = 57716736000.

The previous prime is 145011535589. The next prime is 145011535619. The reversal of 145011535600 is 6535110541.

It is a happy number.

145011535600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90574800 + ... + 90576400.

Almost surely, 2^145011535600 is an apocalyptic number.

145011535600 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 145011535600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175062125664).

145011535600 is an abundant number, since it is smaller than the sum of its proper divisors (205112715728).

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

145011535600 is a wasteful number, since it uses less digits than its factorization.

145011535600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 145011535600 in words is "one hundred forty-five billion, eleven million, five hundred thirty-five thousand, six hundred".