145334247685200 has 540 divisors, whose sum is σ = 617571700068960. Its totient is φ = 31470873960960.

The previous prime is 145334247685183. The next prime is 145334247685201. The reversal of 145334247685200 is 2586742433541.

145334247685200 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 3 + 42 + 4 + 76 + 8 + 520 + 0 = 666.

It is a super-2 number, since 2×145334247685200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145334247685201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18329724 + ... + 25032923.

It is an arithmetic number, because the mean of its divisors is an integer number (1143651296424).

Almost surely, 2^{145334247685200} is an apocalyptic number.

145334247685200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145334247685200 is an abundant number, since it is smaller than the sum of its proper divisors (472237452383760).

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

145334247685200 is a wasteful number, since it uses less digits than its factorization.

145334247685200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43362704 (or 43362683 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 145334247685200 in words is "one hundred forty-five trillion, three hundred thirty-four billion, two hundred forty-seven million, six hundred eighty-five thousand, two hundred".