145825989120 has 640 divisors, whose sum is σ = 626842022400. Its totient is φ = 31369199616.

The previous prime is 145825989061. The next prime is 145825989149. The reversal of 145825989120 is 21989528541.

145825989120 is a `hidden beast` number, since 1 + 4 + 582 + 59 + 8 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 8216416 + ... + 8234144.

It is an arithmetic number, because the mean of its divisors is an integer number (979440660).

Almost surely, 2^145825989120 is an apocalyptic number.

145825989120 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 145825989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313421011200).

145825989120 is an abundant number, since it is smaller than the sum of its proper divisors (481016033280).

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

145825989120 is a wasteful number, since it uses less digits than its factorization.

145825989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17785 (or 17763 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 145825989120 in words is "one hundred forty-five billion, eight hundred twenty-five million, nine hundred eighty-nine thousand, one hundred twenty".