145049085720 has 2048 divisors, whose sum is σ = 680804352000. Its totient is φ = 26555351040.

The previous prime is 145049085707. The next prime is 145049085743. The reversal of 145049085720 is 27580940541.

145049085720 is a `hidden beast` number, since 1 + 4 + 504 + 90 + 8 + 57 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2458459051 + ... + 2458459109.

It is an arithmetic number, because the mean of its divisors is an integer number (332424000).

Almost surely, 2^145049085720 is an apocalyptic number.

145049085720 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 145049085720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340402176000).

145049085720 is an abundant number, since it is smaller than the sum of its proper divisors (535755266280).

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

145049085720 is a wasteful number, since it uses less digits than its factorization.

145049085720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 145049085720 in words is "one hundred forty-five billion, forty-nine million, eighty-five thousand, seven hundred twenty".