145134400 has 42 divisors (see below), whose sum is σ = 357125270. Its totient is φ = 58053120.

The previous prime is 145134397. The next prime is 145134401. The reversal of 145134400 is 4431541.

It can be written as a sum of positive squares in 3 ways, for example, as 30558784 + 114575616 = 5528^2 + 10704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145134401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43755 + ... + 46954.

Almost surely, 2^145134400 is an apocalyptic number.

145134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145134400 is an abundant number, since it is smaller than the sum of its proper divisors (211990870).

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

145134400 is an equidigital number, since it uses as much as digits as its factorization.

145134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90731 (or 90716 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 145134400 is about 12047.1739424647. The cubic root of 145134400 is about 525.5210548740.

Adding to 145134400 its reverse (4431541), we get a palindrome (149565941).

The spelling of 145134400 in words is "one hundred forty-five million, one hundred thirty-four thousand, four hundred".