145681400 has 48 divisors (see below), whose sum is σ = 349650240. Its totient is φ = 56390400.

The previous prime is 145681391. The next prime is 145681411. The reversal of 145681400 is 4186541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5549 + ... + 17948.

It is an arithmetic number, because the mean of its divisors is an integer number (7284380).

Almost surely, 2^145681400 is an apocalyptic number.

145681400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145681400 is an abundant number, since it is smaller than the sum of its proper divisors (203968840).

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

145681400 is a wasteful number, since it uses less digits than its factorization.

145681400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23544 (or 23535 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 145681400 is about 12069.8550115567. The cubic root of 145681400 is about 526.1804428466.

The spelling of 145681400 in words is "one hundred forty-five million, six hundred eighty-one thousand, four hundred".