145232202400 has 72 divisors (see below), whose sum is σ = 358203440700. Its totient is φ = 57493954560.

The previous prime is 145232202371. The next prime is 145232202403. The reversal of 145232202400 is 4202232541.

It can be written as a sum of positive squares in 6 ways, for example, as 27228960144 + 118003242256 = 165012^2 + 343516^2 .

It is a super-2 number, since 2×145232202400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (145232202403) 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, 858175 + ... + 1013374.

Almost surely, 2^145232202400 is an apocalyptic number.

145232202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145232202400 is an abundant number, since it is smaller than the sum of its proper divisors (212971238300).

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

145232202400 is a wasteful number, since it uses less digits than its factorization.

145232202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871666 (or 1871653 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 145232202400 its reverse (4202232541), we get a palindrome (149434434941).

The spelling of 145232202400 in words is "one hundred forty-five billion, two hundred thirty-two million, two hundred two thousand, four hundred".