145717574400 has 648 divisors, whose sum is σ = 553086614080. Its totient is φ = 37936926720.

The previous prime is 145717574383. The next prime is 145717574407. The reversal of 145717574400 is 4475717541.

145717574400 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 175 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×145717574400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (145717574407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66872511 + ... + 66874689.

Almost surely, 2^145717574400 is an apocalyptic number.

145717574400 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 145717574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276543307040).

145717574400 is an abundant number, since it is smaller than the sum of its proper divisors (407369039680).

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

145717574400 is an equidigital number, since it uses as much as digits as its factorization.

145717574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 145717574400 in words is "one hundred forty-five billion, seven hundred seventeen million, five hundred seventy-four thousand, four hundred".