145202430050400 has 288 divisors, whose sum is σ = 473306778989856. Its totient is φ = 38665553920000.

The previous prime is 145202430050351. The next prime is 145202430050407. The reversal of 145202430050400 is 4050034202541.

It is a super-3 number, since 3×145202430050400³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145202430050407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7274296420 + ... + 7274316380.

It is an arithmetic number, because the mean of its divisors is an integer number (1643426315937).

Almost surely, 2^{145202430050400} is an apocalyptic number.

145202430050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145202430050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236653389494928).

145202430050400 is an abundant number, since it is smaller than the sum of its proper divisors (328104348939456).

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

145202430050400 is a wasteful number, since it uses less digits than its factorization.

145202430050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24146 (or 24133 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 145202430050400 its reverse (4050034202541), we get a palindrome (149252464252941).

The spelling of 145202430050400 in words is "one hundred forty-five trillion, two hundred two billion, four hundred thirty million, fifty thousand, four hundred".