145661400 has 72 divisors (see below), whose sum is σ = 489185580. Its totient is φ = 38842560.

The previous prime is 145661393. The next prime is 145661401. The reversal of 145661400 is 4166541.

145661400 is a `hidden beast` number, since 1 + 45 + 6 + 614 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145661401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38662 + ... + 42261.

Almost surely, 2^145661400 is an apocalyptic number.

145661400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145661400 is an abundant number, since it is smaller than the sum of its proper divisors (343524180).

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

145661400 is a wasteful number, since it uses less digits than its factorization.

145661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80945 (or 80933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145661400 is about 12069.0264727525. The cubic root of 145661400 is about 526.1563626952.

The spelling of 145661400 in words is "one hundred forty-five million, six hundred sixty-one thousand, four hundred".