145101120232400 has 60 divisors (see below), whose sum is σ = 348709165339404. Its totient is φ = 58023178752000.

The previous prime is 145101120232391. The next prime is 145101120232429. The reversal of 145101120232400 is 4232021101541.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17460564245056 + 127640555987344 = 4178584^2 + 11297812^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145101120232400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52620611 + ... + 55309410.

Almost surely, 2^{145101120232400} is an apocalyptic number.

145101120232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145101120232400 is an abundant number, since it is smaller than the sum of its proper divisors (203608045107004).

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

145101120232400 is a wasteful number, since it uses less digits than its factorization.

145101120232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107933400 (or 107933389 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 145101120232400 its reverse (4232021101541), we get a palindrome (149333141333941).

The spelling of 145101120232400 in words is "one hundred forty-five trillion, one hundred one billion, one hundred twenty million, two hundred thirty-two thousand, four hundred".