56142900 has 216 divisors, whose sum is σ = 197424864. Its totient is φ = 13228800.

The previous prime is 56142887. The next prime is 56142901. The reversal of 56142900 is 924165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56142901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 524647 + ... + 524753.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^56142900 is an apocalyptic number.

56142900 is a gapful number since it is divisible by the number (50) 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 56142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98712432).

56142900 is an abundant number, since it is smaller than the sum of its proper divisors (141281964).

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

56142900 is a wasteful number, since it uses less digits than its factorization.

56142900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56142900 is about 7492.8565981206. The cubic root of 56142900 is about 382.9113861714.

The spelling of 56142900 in words is "fifty-six million, one hundred forty-two thousand, nine hundred".