145502753760 has 1152 divisors, whose sum is σ = 640695121920. Its totient is φ = 30191616000.

The previous prime is 145502753731. The next prime is 145502753807. The reversal of 145502753760 is 67357205541.

It is a happy number.

145502753760 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 0 + 275 + 376 + 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 191 ways as a sum of consecutive naturals, for example, 362849560 + ... + 362849960.

It is an arithmetic number, because the mean of its divisors is an integer number (556158960).

Almost surely, 2^145502753760 is an apocalyptic number.

145502753760 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 145502753760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320347560960).

145502753760 is an abundant number, since it is smaller than the sum of its proper divisors (495192368160).

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

145502753760 is a wasteful number, since it uses less digits than its factorization.

145502753760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 145502753760 in words is "one hundred forty-five billion, five hundred two million, seven hundred fifty-three thousand, seven hundred sixty".