145238400 has 288 divisors, whose sum is σ = 544812600. Its totient is φ = 37785600.

The previous prime is 145238393. The next prime is 145238411. The reversal of 145238400 is 4832541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3542380 + ... + 3542420.

Almost surely, 2^145238400 is an apocalyptic number.

145238400 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 145238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272406300).

145238400 is an abundant number, since it is smaller than the sum of its proper divisors (399574200).

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

145238400 is an equidigital number, since it uses as much as digits as its factorization.

145238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 145238400 is about 12051.4895344932. The cubic root of 145238400 is about 525.6465503693.

The spelling of 145238400 in words is "one hundred forty-five million, two hundred thirty-eight thousand, four hundred".