145300225014400 has 192 divisors, whose sum is σ = 359687139799680. Its totient is φ = 57998747381760.

The previous prime is 145300225014397. The next prime is 145300225014403. The reversal of 145300225014400 is 4410522003541.

It is an interprime number because it is at equal distance from previous prime (145300225014397) and next prime (145300225014403).

It is a super-2 number, since 2×145300225014400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145300225014403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3017195122 + ... + 3017243278.

It is an arithmetic number, because the mean of its divisors is an integer number (1873370519790).

Almost surely, 2^{145300225014400} is an apocalyptic number.

145300225014400 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 145300225014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179843569899840).

145300225014400 is an abundant number, since it is smaller than the sum of its proper divisors (214386914785280).

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

145300225014400 is a wasteful number, since it uses less digits than its factorization.

145300225014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50131 (or 50114 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 145300225014400 its reverse (4410522003541), we get a palindrome (149710747017941).

The spelling of 145300225014400 in words is "one hundred forty-five trillion, three hundred billion, two hundred twenty-five million, fourteen thousand, four hundred".