46131120 has 280 divisors, whose sum is σ = 185407776. Its totient is φ = 10450944.

The previous prime is 46131061. The next prime is 46131161. The reversal of 46131120 is 2113164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 46131093 and 46131102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 408184 + ... + 408296.

Almost surely, 2^46131120 is an apocalyptic number.

46131120 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 46131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92703888).

46131120 is an abundant number, since it is smaller than the sum of its proper divisors (139276656).

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

46131120 is a wasteful number, since it uses less digits than its factorization.

46131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 46131120 is about 6791.9893992850. The cubic root of 46131120 is about 358.6449056201.

Adding to 46131120 its product of nonzero digits (144), we get a square (46131264 = 6792²).

Adding to 46131120 its reverse (2113164), we get a palindrome (48244284).

The spelling of 46131120 in words is "forty-six million, one hundred thirty-one thousand, one hundred twenty".