145040400 has 90 divisors (see below), whose sum is σ = 503342970. Its totient is φ = 38676480.

The previous prime is 145040387. The next prime is 145040429. The reversal of 145040400 is 4040541.

It can be written as a sum of positive squares in 3 ways, for example, as 40755456 + 104284944 = 6384^2 + 10212^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16545 + ... + 23744.

Almost surely, 2^145040400 is an apocalyptic number.

145040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145040400 is an abundant number, since it is smaller than the sum of its proper divisors (358302570).

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

145040400 is a wasteful number, since it uses less digits than its factorization.

145040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40313 (or 40299 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 145040400 is about 12043.2719806538. The cubic root of 145040400 is about 525.4075746610.

Adding to 145040400 its reverse (4040541), we get a palindrome (149080941).

The spelling of 145040400 in words is "one hundred forty-five million, forty thousand, four hundred".