145556611200 has 3456 divisors, whose sum is σ = 771516869760. Its totient is φ = 26276659200.

The previous prime is 145556611177. The next prime is 145556611201. The reversal of 145556611200 is 2116655541.

145556611200 is a `hidden beast` number, since 1 + 45 + 556 + 61 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (145556611201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8562153592 + ... + 8562153608.

It is an arithmetic number, because the mean of its divisors is an integer number (223239835).

Almost surely, 2^145556611200 is an apocalyptic number.

145556611200 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 145556611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385758434880).

145556611200 is an abundant number, since it is smaller than the sum of its proper divisors (625960258560).

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

145556611200 is a wasteful number, since it uses less digits than its factorization.

145556611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 145556611200 in words is "one hundred forty-five billion, five hundred fifty-six million, six hundred eleven thousand, two hundred".