145340722800 has 1080 divisors, whose sum is σ = 642827814720. Its totient is φ = 30133555200.

The previous prime is 145340722789. The next prime is 145340722801. The reversal of 145340722800 is 8227043541.

It is a happy number.

It is a super-2 number, since 2×145340722800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145340722801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 139884681 + ... + 139885719.

Almost surely, 2^145340722800 is an apocalyptic number.

145340722800 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 145340722800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321413907360).

145340722800 is an abundant number, since it is smaller than the sum of its proper divisors (497487091920).

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

145340722800 is a wasteful number, since it uses less digits than its factorization.

145340722800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 145340722800 in words is "one hundred forty-five billion, three hundred forty million, seven hundred twenty-two thousand, eight hundred".