145169766000 has 2560 divisors, whose sum is σ = 701955072000. Its totient is φ = 27869184000.

The previous prime is 145169765989. The next prime is 145169766061. The reversal of 145169766000 is 667961541.

145169766000 is a `hidden beast` number, since 1 + 4 + 516 + 9 + 76 + 60 + 0 + 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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3540725980 + ... + 3540726020.

It is an arithmetic number, because the mean of its divisors is an integer number (274201200).

Almost surely, 2^145169766000 is an apocalyptic number.

145169766000 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 145169766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536000).

145169766000 is an abundant number, since it is smaller than the sum of its proper divisors (556785306000).

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

145169766000 is a wasteful number, since it uses less digits than its factorization.

145169766000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 145169766000 in words is "one hundred forty-five billion, one hundred sixty-nine million, seven hundred sixty-six thousand".