145309145702400 has 840 divisors, whose sum is σ = 539445961105920. Its totient is φ = 38666095165440.

The previous prime is 145309145702393. The next prime is 145309145702431. The reversal of 145309145702400 is 4207541903541.

145309145702400 is a `hidden beast` number, since 1 + 4 + 5 + 30 + 9 + 1 + 4 + 570 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×145309145702400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7946026057 + ... + 7946044343.

Almost surely, 2^{145309145702400} is an apocalyptic number.

145309145702400 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 145309145702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269722980552960).

145309145702400 is an abundant number, since it is smaller than the sum of its proper divisors (394136815403520).

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

145309145702400 is an equidigital number, since it uses as much as digits as its factorization.

145309145702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18814 (or 18776 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 145309145702400 in words is "one hundred forty-five trillion, three hundred nine billion, one hundred forty-five million, seven hundred two thousand, four hundred".