145723147200 has 840 divisors, whose sum is σ = 556713217280. Its totient is φ = 37362124800.

The previous prime is 145723147183. The next prime is 145723147261. The reversal of 145723147200 is 2741327541.

145723147200 is a `hidden beast` number, since 1 + 4 + 572 + 3 + 14 + 72 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 440251035 + ... + 440251365.

Almost surely, 2^145723147200 is an apocalyptic number.

145723147200 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 145723147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278356608640).

145723147200 is an abundant number, since it is smaller than the sum of its proper divisors (410990070080).

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

145723147200 is a wasteful number, since it uses less digits than its factorization.

145723147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 145723147200 in words is "one hundred forty-five billion, seven hundred twenty-three million, one hundred forty-seven thousand, two hundred".