145745600000 has 1080 divisors, whose sum is σ = 500167034136. Its totient is φ = 41932800000.

The previous prime is 145745599963. The next prime is 145745600003. The reversal of 145745600000 is 6547541.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 145745600000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145745600003) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11211199994 + ... + 11211200006.

Almost surely, 2^145745600000 is an apocalyptic number.

145745600000 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 145745600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250083517068).

145745600000 is an abundant number, since it is smaller than the sum of its proper divisors (354421434136).

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

145745600000 is an frugal number, since it uses more digits than its factorization.

145745600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 145745600000 in words is "one hundred forty-five billion, seven hundred forty-five million, six hundred thousand".