145792764969600 has 1152 divisors, whose sum is σ = 564449285790720. Its totient is φ = 32977312972800.

The previous prime is 145792764969539. The next prime is 145792764969613. The reversal of 145792764969600 is 6969467297541.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17699736682 + ... + 17699744918.

It is an arithmetic number, because the mean of its divisors is an integer number (489973338360).

Almost surely, 2^{145792764969600} is an apocalyptic number.

145792764969600 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 145792764969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282224642895360).

145792764969600 is an abundant number, since it is smaller than the sum of its proper divisors (418656520821120).

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

145792764969600 is a wasteful number, since it uses less digits than its factorization.

145792764969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8666 (or 8642 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 75.

The spelling of 145792764969600 in words is "one hundred forty-five trillion, seven hundred ninety-two billion, seven hundred sixty-four million, nine hundred sixty-nine thousand, six hundred".