145133400 has 192 divisors, whose sum is σ = 491040000. Its totient is φ = 35320320.

The previous prime is 145133393. The next prime is 145133411. The reversal of 145133400 is 4331541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330381 + ... + 330819.

It is an arithmetic number, because the mean of its divisors is an integer number (2557500).

Almost surely, 2^145133400 is an apocalyptic number.

145133400 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 145133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520000).

145133400 is an abundant number, since it is smaller than the sum of its proper divisors (345906600).

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

145133400 is a wasteful number, since it uses less digits than its factorization.

145133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 145133400 is about 12047.1324388835. The cubic root of 145133400 is about 525.5198478955.

Adding to 145133400 its reverse (4331541), we get a palindrome (149464941).

The spelling of 145133400 in words is "one hundred forty-five million, one hundred thirty-three thousand, four hundred".