46513152 has 198 divisors, whose sum is σ = 157750008. Its totient is φ = 13160448.

The previous prime is 46513151. The next prime is 46513157. The reversal of 46513152 is 25131564.

46513152 is a `hidden beast` number, since 4 + 651 + 3 + 1 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46513151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451533 + ... + 451635.

Almost surely, 2^46513152 is an apocalyptic number.

46513152 is a gapful number since it is divisible by the number (42) 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 46513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78875004).

46513152 is an abundant number, since it is smaller than the sum of its proper divisors (111236856).

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

46513152 is a wasteful number, since it uses less digits than its factorization.

46513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 46513152 is about 6820.0551317420. The cubic root of 46513152 is about 359.6322169863.

It can be divided in two parts, 46513 and 152, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 46513152 in words is "forty-six million, five hundred thirteen thousand, one hundred fifty-two".