145323763200 has 1920 divisors, whose sum is σ = 685853245440. Its totient is φ = 29262643200.

The previous prime is 145323763187. The next prime is 145323763231. The reversal of 145323763200 is 2367323541.

145323763200 is a `hidden beast` number, since 1 + 4 + 5 + 323 + 7 + 6 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×145323763200² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1144281537 + ... + 1144281663.

It is an arithmetic number, because the mean of its divisors is an integer number (357215232).

Almost surely, 2^145323763200 is an apocalyptic number.

145323763200 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 145323763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342926622720).

145323763200 is an abundant number, since it is smaller than the sum of its proper divisors (540529482240).

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

145323763200 is a wasteful number, since it uses less digits than its factorization.

145323763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 145323763200 in words is "one hundred forty-five billion, three hundred twenty-three million, seven hundred sixty-three thousand, two hundred".