145032792960 has 256 divisors, whose sum is σ = 504712581120. Its totient is φ = 35132006400.

The previous prime is 145032792959. The next prime is 145032792973. The reversal of 145032792960 is 69297230541.

It is a super-2 number, since 2×145032792960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 44582694 + ... + 44585946.

It is an arithmetic number, because the mean of its divisors is an integer number (1971533520).

Almost surely, 2^145032792960 is an apocalyptic number.

145032792960 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 145032792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252356290560).

145032792960 is an abundant number, since it is smaller than the sum of its proper divisors (359679788160).

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

145032792960 is a wasteful number, since it uses less digits than its factorization.

145032792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 145032792960 in words is "one hundred forty-five billion, thirty-two million, seven hundred ninety-two thousand, nine hundred sixty".