57149040 has 120 divisors (see below), whose sum is σ = 191974320. Its totient is φ = 14057472.

The previous prime is 57149033. The next prime is 57149041. The reversal of 57149040 is 4094175.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 57148989 and 57149007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57149041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39856 + ... + 41264.

It is an arithmetic number, because the mean of its divisors is an integer number (1599786).

Almost surely, 2^57149040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95987160).

57149040 is an abundant number, since it is smaller than the sum of its proper divisors (134825280).

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

57149040 is a wasteful number, since it uses less digits than its factorization.

57149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1432 counting only the distinct ones).

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

The square root of 57149040 is about 7559.6984066826. The cubic root of 57149040 is about 385.1852484568.

The spelling of 57149040 in words is "fifty-seven million, one hundred forty-nine thousand, forty".