145367570880 has 1344 divisors, whose sum is σ = 620797132800. Its totient is φ = 31159296000.

The previous prime is 145367570867. The next prime is 145367570891. The reversal of 145367570880 is 88075763541.

It is a happy number.

145367570880 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 67 + 570 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×145367570880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1439282830 + ... + 1439282930.

Almost surely, 2^145367570880 is an apocalyptic number.

145367570880 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 145367570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310398566400).

145367570880 is an abundant number, since it is smaller than the sum of its proper divisors (475429561920).

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

145367570880 is a wasteful number, since it uses less digits than its factorization.

145367570880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 145367570880 in words is "one hundred forty-five billion, three hundred sixty-seven million, five hundred seventy thousand, eight hundred eighty".