145231054400 has 252 divisors, whose sum is σ = 383990964300. Its totient is φ = 54045573120.

The previous prime is 145231054373. The next prime is 145231054429. The reversal of 145231054400 is 4450132541.

It can be written as a sum of positive squares in 18 ways, for example, as 107389911616 + 37841142784 = 327704^2 + 194528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41151836 + ... + 41155364.

Almost surely, 2^145231054400 is an apocalyptic number.

145231054400 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 145231054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191995482150).

145231054400 is an abundant number, since it is smaller than the sum of its proper divisors (238759909900).

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

145231054400 is a wasteful number, since it uses less digits than its factorization.

145231054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3674 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 145231054400 its reverse (4450132541), we get a palindrome (149681186941).

The spelling of 145231054400 in words is "one hundred forty-five billion, two hundred thirty-one million, fifty-four thousand, four hundred".