57136800 has 288 divisors, whose sum is σ = 224985600. Its totient is φ = 12303360.

The previous prime is 57136799. The next prime is 57136841. The reversal of 57136800 is 863175.

It is a super-2 number, since 2×57136800² = 6529227828480000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319111 + ... + 319289.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 2^57136800 is an apocalyptic number.

57136800 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 57136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

57136800 is an abundant number, since it is smaller than the sum of its proper divisors (167848800).

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

57136800 is a wasteful number, since it uses less digits than its factorization.

57136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 57136800 is about 7558.8888072256. Note that the first 4 decimals coincide. The cubic root of 57136800 is about 385.1577472420.

Adding to 57136800 its reverse (863175), we get a palindrome (57999975).

The spelling of 57136800 in words is "fifty-seven million, one hundred thirty-six thousand, eight hundred".