145202332550400 has 162 divisors, whose sum is σ = 519131110433390. Its totient is φ = 38720621998080.

The previous prime is 145202332550389. The next prime is 145202332550461. The reversal of 145202332550400 is 4055233202541.

145202332550400 is a `hidden beast` number, since 1 + 4 + 52 + 0 + 23 + 32 + 550 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 144011142144 + 145058321408256 = 379488^2 + 12044016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1260379315 + ... + 1260494514.

Almost surely, 2^{145202332550400} is an apocalyptic number.

145202332550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145202332550400 is an abundant number, since it is smaller than the sum of its proper divisors (373928777882990).

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

145202332550400 is a wasteful number, since it uses less digits than its factorization.

145202332550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520873861 (or 2520873839 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 145202332550400 its reverse (4055233202541), we get a palindrome (149257565752941).

The spelling of 145202332550400 in words is "one hundred forty-five trillion, two hundred two billion, three hundred thirty-two million, five hundred fifty thousand, four hundred".