145217595600 has 1080 divisors, whose sum is σ = 649641197088. Its totient is φ = 29698099200.

The previous prime is 145217595583. The next prime is 145217595643. The reversal of 145217595600 is 6595712541.

It is a happy number.

145217595600 is a `hidden beast` number, since 1 + 4 + 52 + 1 + 7 + 595 + 6 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 130006242 + ... + 130007358.

Almost surely, 2^145217595600 is an apocalyptic number.

145217595600 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 145217595600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324820598544).

145217595600 is an abundant number, since it is smaller than the sum of its proper divisors (504423601488).

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

145217595600 is a wasteful number, since it uses less digits than its factorization.

145217595600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 145217595600 in words is "one hundred forty-five billion, two hundred seventeen million, five hundred ninety-five thousand, six hundred".