57150000 has 180 divisors, whose sum is σ = 201487104. Its totient is φ = 15120000.

The previous prime is 57149999. The next prime is 57150001. The reversal of 57150000 is 5175.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57149999) and next prime (57150001).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×57150000² = 6532245000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (57150001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449937 + ... + 450063.

Almost surely, 2^57150000 is an apocalyptic number.

57150000 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 57150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100743552).

57150000 is an abundant number, since it is smaller than the sum of its proper divisors (144337104).

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

57150000 is a wasteful number, since it uses less digits than its factorization.

57150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 57150000 is about 7559.7619010125. The cubic root of 57150000 is about 385.1874052487.

Adding to 57150000 its reverse (5175), we get a palindrome (57155175).

The spelling of 57150000 in words is "fifty-seven million, one hundred fifty thousand".