46137984 has 64 divisors (see below), whose sum is σ = 124921440. Its totient is φ = 15082496.

The previous prime is 46137979. The next prime is 46137989. The reversal of 46137984 is 48973164.

It is an interprime number because it is at equal distance from previous prime (46137979) and next prime (46137989).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46137989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19219 + ... + 21485.

Almost surely, 2^46137984 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 46137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62460720).

46137984 is an abundant number, since it is smaller than the sum of its proper divisors (78783456).

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

46137984 is a wasteful number, since it uses less digits than its factorization.

46137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2325 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 46137984 is about 6792.4946816321. The cubic root of 46137984 is about 358.6626927202.

The spelling of 46137984 in words is "forty-six million, one hundred thirty-seven thousand, nine hundred eighty-four".