46121136 has 80 divisors (see below), whose sum is σ = 130572000. Its totient is φ = 13963264.

The previous prime is 46121123. The next prime is 46121137. The reversal of 46121136 is 63112164.

46121136 = 1185² + 1186² + ... + 1216².

46121136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46121137) 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 15 ways as a sum of consecutive naturals, for example, 22690 + ... + 24638.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^46121136 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 46121136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65286000).

46121136 is an abundant number, since it is smaller than the sum of its proper divisors (84450864).

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

46121136 is a wasteful number, since it uses less digits than its factorization.

46121136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2000 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 46121136 is about 6791.2543760339. The cubic root of 46121136 is about 358.6190303246.

The spelling of 46121136 in words is "forty-six million, one hundred twenty-one thousand, one hundred thirty-six".