46153152 has 140 divisors (see below), whose sum is σ = 141991080. Its totient is φ = 14805504.

The previous prime is 46153117. The next prime is 46153169. The reversal of 46153152 is 25135164.

46153152 is a `hidden beast` number, since 461 + 53 + 152 = 666.

It is a super-2 number, since 2×46153152² = 4260226879070208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

46153152 is a Rhonda number in base 10.

Its product of digits (3600) is a multiple of the sum of its prime factors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150183 + ... + 150489.

It is an arithmetic number, because the mean of its divisors is an integer number (1014222).

Almost surely, 2^46153152 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 46153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70995540).

46153152 is an abundant number, since it is smaller than the sum of its proper divisors (95837928).

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

46153152 is a wasteful number, since it uses less digits than its factorization.

46153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 341 counting only the distinct ones).

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

The square root of 46153152 is about 6793.6111163357. The cubic root of 46153152 is about 358.7019922243.

The spelling of 46153152 in words is "forty-six million, one hundred fifty-three thousand, one hundred fifty-two".