145144234400 has 288 divisors, whose sum is σ = 408416359680. Its totient is φ = 49871360000.

The previous prime is 145144234399. The next prime is 145144234409. The reversal of 145144234400 is 4432441541.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (145144234409) 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, 11988350 + ... + 12000450.

It is an arithmetic number, because the mean of its divisors is an integer number (1418112360).

Almost surely, 2^145144234400 is an apocalyptic number.

145144234400 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 145144234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204208179840).

145144234400 is an abundant number, since it is smaller than the sum of its proper divisors (263272125280).

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

145144234400 is a wasteful number, since it uses less digits than its factorization.

145144234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12208 (or 12195 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 145144234400 its reverse (4432441541), we get a palindrome (149576675941).

The spelling of 145144234400 in words is "one hundred forty-five billion, one hundred forty-four million, two hundred thirty-four thousand, four hundred".