145153543400 has 96 divisors (see below), whose sum is σ = 357238965600. Its totient is φ = 54755500800.

The previous prime is 145153543333. The next prime is 145153543411. The reversal of 145153543400 is 4345351541.

145153543400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145153543400³ (a number of 34 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 41606 + ... + 540405.

It is an arithmetic number, because the mean of its divisors is an integer number (3721239225).

Almost surely, 2^145153543400 is an apocalyptic number.

145153543400 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 145153543400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178619482800).

145153543400 is an abundant number, since it is smaller than the sum of its proper divisors (212085422200).

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

145153543400 is a wasteful number, since it uses less digits than its factorization.

145153543400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582099 (or 582090 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 145153543400 its reverse (4345351541), we get a palindrome (149498894941).

The spelling of 145153543400 in words is "one hundred forty-five billion, one hundred fifty-three million, five hundred forty-three thousand, four hundred".