145512400 has 60 divisors (see below), whose sum is σ = 381386304. Its totient is φ = 52912000.

The previous prime is 145512373. The next prime is 145512407. The reversal of 145512400 is 4215541.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145512407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12136 + ... + 20935.

Almost surely, 2^145512400 is an apocalyptic number.

145512400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145512400 is an abundant number, since it is smaller than the sum of its proper divisors (235873904).

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

145512400 is a wasteful number, since it uses less digits than its factorization.

145512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33100 (or 33089 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 145512400 is about 12062.8520674010. The cubic root of 145512400 is about 525.9768961501.

Adding to 145512400 its reverse (4215541), we get a palindrome (149727941).

The spelling of 145512400 in words is "one hundred forty-five million, five hundred twelve thousand, four hundred".