140977200 has 240 divisors, whose sum is σ = 556242176. Its totient is φ = 29721600.

The previous prime is 140977153. The next prime is 140977201. The reversal of 140977200 is 2779041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (140977201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108555 + ... + 109845.

Almost surely, 2^140977200 is an apocalyptic number.

140977200 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 140977200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278121088).

140977200 is an abundant number, since it is smaller than the sum of its proper divisors (415264976).

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

140977200 is a wasteful number, since it uses less digits than its factorization.

140977200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 140977200 is about 11873.3819950341. The cubic root of 140977200 is about 520.4547304358.

The spelling of 140977200 in words is "one hundred forty million, nine hundred seventy-seven thousand, two hundred".