1457851136 has 216 divisors, whose sum is σ = 3668603904. Its totient is φ = 574801920.

The previous prime is 1457851111. The next prime is 1457851151. The reversal of 1457851136 is 6311587541.

It is a junction number, because it is equal to n+sod(n) for n = 1457851093 and 1457851102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8943791 + ... + 8943953.

Almost surely, 2^1457851136 is an apocalyptic number.

1457851136 is a gapful number since it is divisible by the number (16) 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 1457851136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834301952).

1457851136 is an abundant number, since it is smaller than the sum of its proper divisors (2210752768).

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

1457851136 is a wasteful number, since it uses less digits than its factorization.

1457851136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The square root of 1457851136 is about 38181.8168242424. The cubic root of 1457851136 is about 1133.8903516398.

The spelling of 1457851136 in words is "one billion, four hundred fifty-seven million, eight hundred fifty-one thousand, one hundred thirty-six".