46135800 has 216 divisors, whose sum is σ = 165826440. Its totient is φ = 11491200.

The previous prime is 46135777. The next prime is 46135823. The reversal of 46135800 is 853164.

It is an interprime number because it is at equal distance from previous prime (46135777) and next prime (46135823).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 649765 + ... + 649835.

It is an arithmetic number, because the mean of its divisors is an integer number (767715).

Almost surely, 2^46135800 is an apocalyptic number.

46135800 is a gapful number since it is divisible by the number (40) 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 46135800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82913220).

46135800 is an abundant number, since it is smaller than the sum of its proper divisors (119690640).

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

46135800 is a wasteful number, since it uses less digits than its factorization.

46135800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 46135800 is about 6792.3339140534. Note that the first 3 decimals coincide. The cubic root of 46135800 is about 358.6570333797.

Adding to 46135800 its reverse (853164), we get a palindrome (46988964).

The spelling of 46135800 in words is "forty-six million, one hundred thirty-five thousand, eight hundred".