145085278800 has 960 divisors, whose sum is σ = 609297002496. Its totient is φ = 28615065600.

The previous prime is 145085278799. The next prime is 145085278859. The reversal of 145085278800 is 8872580541.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145085278800.

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, 495171454 + ... + 495171746.

Almost surely, 2^145085278800 is an apocalyptic number.

145085278800 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 145085278800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304648501248).

145085278800 is an abundant number, since it is smaller than the sum of its proper divisors (464211723696).

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

145085278800 is a wasteful number, since it uses less digits than its factorization.

145085278800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 145085278800 in words is "one hundred forty-five billion, eighty-five million, two hundred seventy-eight thousand, eight hundred".