145832334400 has 63 divisors (see below), whose sum is σ = 358876278309. Its totient is φ = 58326823680.

The previous prime is 145832334383. The next prime is 145832334407. The reversal of 145832334400 is 4433238541.

The square root of 145832334400 is 381880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52499640384 + 93332694016 = 229128^2 + 305504^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145832334400.

It is not an unprimeable number, because it can be changed into a prime (145832334407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15270427 + ... + 15279973.

Almost surely, 2^145832334400 is an apocalyptic number.

145832334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145832334400 is the 381880-th square number.

It is an amenable number.

145832334400 is an abundant number, since it is smaller than the sum of its proper divisors (213043943909).

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

145832334400 is an frugal number, since it uses more digits than its factorization.

145832334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19116 (or 9554 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 145832334400 in words is "one hundred forty-five billion, eight hundred thirty-two million, three hundred thirty-four thousand, four hundred".