145011708000 has 576 divisors, whose sum is σ = 537166873152. Its totient is φ = 38419660800.

The previous prime is 145011707989. The next prime is 145011708031. The reversal of 145011708000 is 807110541.

145011708000 is a `hidden beast` number, since 14 + 501 + 1 + 70 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187595614 + ... + 187596386.

It is an arithmetic number, because the mean of its divisors is an integer number (932581377).

Almost surely, 2^145011708000 is an apocalyptic number.

145011708000 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 145011708000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268583436576).

145011708000 is an abundant number, since it is smaller than the sum of its proper divisors (392155165152).

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

145011708000 is an equidigital number, since it uses as much as digits as its factorization.

145011708000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 145011708000 its reverse (807110541), we get a palindrome (145818818541).

The spelling of 145011708000 in words is "one hundred forty-five billion, eleven million, seven hundred eight thousand".