514895136 has 192 divisors, whose sum is σ = 1661184000. Its totient is φ = 139200768.

The previous prime is 514895123. The next prime is 514895137. The reversal of 514895136 is 631598415.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514895137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625221 + ... + 626043.

It is an arithmetic number, because the mean of its divisors is an integer number (8652000).

Almost surely, 2^514895136 is an apocalyptic number.

514895136 is a gapful number since it is divisible by the number (56) 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 514895136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830592000).

514895136 is an abundant number, since it is smaller than the sum of its proper divisors (1146288864).

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

514895136 is a wasteful number, since it uses less digits than its factorization.

514895136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 854 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 514895136 is about 22691.3008882259. The cubic root of 514895136 is about 801.5050500880.

The spelling of 514895136 in words is "five hundred fourteen million, eight hundred ninety-five thousand, one hundred thirty-six".