145487210400 has 1728 divisors, whose sum is σ = 679726494720. Its totient is φ = 29561241600.

The previous prime is 145487210387. The next prime is 145487210437. The reversal of 145487210400 is 4012784541.

It is a happy number.

145487210400 is a `hidden beast` number, since 1 + 4 + 548 + 7 + 2 + 104 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 439538235 + ... + 439538565.

It is an arithmetic number, because the mean of its divisors is an integer number (393360240).

Almost surely, 2^145487210400 is an apocalyptic number.

145487210400 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 145487210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339863247360).

145487210400 is an abundant number, since it is smaller than the sum of its proper divisors (534239284320).

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

145487210400 is a wasteful number, since it uses less digits than its factorization.

145487210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 145487210400 its reverse (4012784541), we get a palindrome (149499994941).

The spelling of 145487210400 in words is "one hundred forty-five billion, four hundred eighty-seven million, two hundred ten thousand, four hundred".