145552825843200 has 840 divisors, whose sum is σ = 542083850451000. Its totient is φ = 38713342279680.

The previous prime is 145552825843181. The next prime is 145552825843231. The reversal of 145552825843200 is 2348528255541.

145552825843200 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 5 + 28 + 2 + 584 + 32 + 0 + 0 = 666.

It is a super-2 number, since 2×145552825843200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 3629816751 + ... + 3629856849.

Almost surely, 2^{145552825843200} is an apocalyptic number.

145552825843200 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 145552825843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271041925225500).

145552825843200 is an abundant number, since it is smaller than the sum of its proper divisors (396531024607800).

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

145552825843200 is an frugal number, since it uses more digits than its factorization.

145552825843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40534 (or 40498 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 54.

The spelling of 145552825843200 in words is "one hundred forty-five trillion, five hundred fifty-two billion, eight hundred twenty-five million, eight hundred forty-three thousand, two hundred".