145208246400 has 1728 divisors, whose sum is σ = 648179138880. Its totient is φ = 31979888640.

The previous prime is 145208246389. The next prime is 145208246467. The reversal of 145208246400 is 4642802541.

145208246400 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 0 + 8 + 2 + 4 + 640 + 0 = 666.

145208246400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×145208246400² (a number of 23 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 1409788749 + ... + 1409788851.

Almost surely, 2^145208246400 is an apocalyptic number.

145208246400 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 145208246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324089569440).

145208246400 is an abundant number, since it is smaller than the sum of its proper divisors (502970892480).

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

145208246400 is a wasteful number, since it uses less digits than its factorization.

145208246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 145208246400 in words is "one hundred forty-five billion, two hundred eight million, two hundred forty-six thousand, four hundred".