145527214400 has 42 divisors (see below), whose sum is σ = 358087905870. Its totient is φ = 58210885120.

The previous prime is 145527214367. The next prime is 145527214411. The reversal of 145527214400 is 4412725541.

It can be written as a sum of positive squares in 3 ways, for example, as 6296739904 + 139230474496 = 79352^2 + 373136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45475655 + ... + 45478854.

Almost surely, 2^145527214400 is an apocalyptic number.

145527214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145527214400 is an abundant number, since it is smaller than the sum of its proper divisors (212560691470).

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

145527214400 is an equidigital number, since it uses as much as digits as its factorization.

145527214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90954531 (or 90954516 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

Adding to 145527214400 its reverse (4412725541), we get a palindrome (149939939941).

The spelling of 145527214400 in words is "one hundred forty-five billion, five hundred twenty-seven million, two hundred fourteen thousand, four hundred".